HCF of 64 and 96 is the largest possible number that divides 64 and 96 exactly without any remainder. The factors of 64 and 96 are 1, 2, 4, 8, 16, 32, 64 and 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 respectively. There are 3 commonly used methods to find the HCF of 64 and 96 - Euclidean algorithm, long division, and prime factorization. Show
What is HCF of 64 and 96?Answer: HCF of 64 and 96 is 32. Explanation: The HCF of two non-zero integers, x(64) and y(96), is the highest positive integer m(32) that divides both x(64) and y(96) without any remainder. Methods to Find HCF of 64 and 96The methods to find the HCF of 64 and 96 are explained below.
HCF of 64 and 96 by Long DivisionHCF of 64 and 96 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
The corresponding divisor (32) is the HCF of 64 and 96. HCF of 64 and 96 by Prime FactorizationPrime factorization of 64 and 96 is (2 × 2 × 2 × 2 × 2 × 2) and (2 × 2 × 2 × 2 × 2 × 3) respectively. As visible, 64 and 96 have common prime factors. Hence, the HCF of 64 and 96 is 2 × 2 × 2 × 2 × 2 = 32. HCF of 64 and 96 by Euclidean AlgorithmAs per the Euclidean Algorithm, HCF(X, Y) = HCF(Y, X mod Y) Here X = 96 and Y = 64
Therefore, the value of HCF of 64 and 96 is 32. ☛ Also Check:
HCF of 64 and 96 Examples
go to slidego to slidego to slide Ready to see the world through math’s eyes? Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything. Book a Free Trial Class FAQs on HCF of 64 and 96What is the HCF of 64 and 96?The HCF of 64 and 96 is 32. To calculate the Highest common factor (HCF) of 64 and 96, we need to factor each number (factors of 64 = 1, 2, 4, 8, 16, 32, 64; factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96) and choose the highest factor that exactly divides both 64 and 96, i.e., 32. What are the Methods to Find HCF of 64 and 96?There are three commonly used methods to find the HCF of 64 and 96.
What is the Relation Between LCM and HCF of 64, 96?The following equation can be used to express the relation between LCM and HCF of 64 and 96, i.e. HCF × LCM = 64 × 96. If the HCF of 96 and 64 is 32, Find its LCM.HCF(96, 64) × LCM(96, 64) = 96 × 64 How to Find the HCF of 64 and 96 by Prime Factorization?To find the HCF of 64 and 96, we will find the prime factorization of the given numbers, i.e. 64 = 2 × 2 × 2 × 2 × 2 × 2; 96 = 2 × 2 × 2 × 2 × 2 × 3. How to Find the HCF of 64 and 96 by Long Division Method?To find the HCF of 64, 96 using long division method, 96 is divided by 64. The corresponding divisor (32) when remainder equals 0 is taken as HCF. What percent of 75 is 15 solution?Therefore, 15 is 20% of 75 .
What number is 80 of 20?Answer: 80% of 20 is 16.
What is 63 as a percentage of 150?The percentage score for 63 out of 150 is 42.00%. This is an F grade.
What number is 22% of 50?22 percent of 50 is 11.
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