WebMay 6, 2024 · 2. L C M × H C F = Product of two numbers. Since their HCF is 6, let the numbers be 6 m and 6 n. Now apply the formula. (Also note that m and n are coprime, i.e. gcd ( m, n) = 1 ) You'll get : 6 m × 6 n = 6 × 72 m n = 12 ; m, n ∈ N. Now the possible unordered pairs of ( m, n) are : WebSteps to find the HCF of any given set of numbers. Step 1: Divide the larger number by the smaller number first, such as; Larger Number/Smaller Number Step 2: Divide the divisor …
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WebThe Greatest Common Factor (GCF) for 56 and 90, notation CGF (56,90), is 2. The factors of 90 are 1,2,3,5,6,9,10,15,18,30,45,90. So, as we can see, the Greatest Common Factor or Divisor is 2, because it is the greatest number that divides evenly into all of them. WebFeb 4, 2024 · The two numbers are ( 6 , 90 ) ( 36 , 15 ). Step-by-step explanation: To find two numbers with HCF = 6 and LCM = 90. There is a property of LCM and HCF where the product of HCF and LCM equals the product of two numbers. By factorizing both numbers we will find the numbers which share the same HCF and LCM. LCM * HCF = x * y
WebThe highest common factor (HCF) or greatest common factor is the largest integer that two or more numbers can be divided by. ... Given that 90 = 2 × 3 2 × 5, calculate the highest common factor of 54 and 90. State the product of prime factors for each number, not in index form. WebStep 1: Since 90 > 84, we apply the division lemma to 90 and 84, to get. 90 = 84 x 1 + 6. Step 2: Since the reminder 84 ≠ 0, we apply division lemma to 6 and 84, to get. 84 = 6 x 14 + 0. The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 84 and 90 is 6.
WebMar 29, 2024 · For two integers ie., a, b the HCF is indicated as HCF (a,b). For example, if you take two numbers ie., 54 and 60 then the Highest Common Factor of numbers is the 6 ie., the largest integer that exactly … WebTherefore, HCF (90, 120) = 2 × 3 × 5 = 30. HCF of 90 and 120 by Long Division Method. The numbers (90, 120) have to be divided by the prime factors to get the HCF of the numbers. The divisor, when the remainder is zero, is the HCF of 90 and 120. No further division can be done. Hence, HCF (90, 120) = 30. HCF of 90 and 120 by Listing Common ...
WebThe HCF of 24 and 90 is 6. HCF stands for Highest Common Factor, and as the name suggests, the number that is highest among the common factors is known as HCF. It can also be referred to as GCD (Greatest Common Divisor) or GCF (Greatest Common Factor). For the given set of numbers 24 and 90, 6 is the HCF/GCD/GCF.
WebApr 8, 2024 · Find the HCF of 3 numbers 15,30 and 90 using the Prime Factorization method. Solution: 15 = 5×3×130= 5×3×2×190= 3×3×2×5×1. The common factors here … safest towns in ukWebApr 7, 2024 · View solution. Question Text. 2. Find the LCM and HCF of the following pairs of integers and verily that LCM ×HCF= product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54 3. Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12,15 and 21 (ii) 17.23 and 29 (iii) 8.9 and 25 4. the world beneath his feet is a biography ofWebFor two integers ie., a, b the HCF is indicated as HCF (a,b). For example, if you take two numbers ie., 54 and 60 then the Highest Common Factor of numbers is the 6 ie., the largest integer that exactly divided the two … safest towns in the usWebProduct of 6 and 15 = 6 × 15 = 90. Hence, LCM (6, 15) × HCF (6, 15)=Product(6, 15) = 90 (ii) The LCM of given co-prime numbers is equal to the product of the numbers since the HCF of co-prime numbers is 1. So, LCM of Co-prime Numbers = Product Of The Numbers. Example 2: 17 and 23 are two co-prime numbers. By using the given numbers verify that, the world beneath his feetWebNow, the HCF of 60 and 90 will be the product of the common prime factors that have the least powers, which are, 2, 3, and 5. So, HCF of 60 and 90 = 2 × 3 × 5 = 30 HCF by … safest towns in western north carolinaWebGCF of 6, 9, and 12 = 3. What is the Greatest Common Factor? Put simply, the GCF of a set of whole numbers is the largest positive integer (i.e whole number and not a decimal) … the world best assassinWebThe factors of 6 are 1, 2, 3 and 6. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90. So, the Greatest Common Factor for these numbers is 6 because it divides all them … the world beneath your feet book