GCF of 48 and 60 is the largest possible number that divides 48 and 60 exactly without any remainder. The factors of 48 and 60 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 and 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 respectively. There are 3 commonly used methods to find the GCF of 48 and 60 - Euclidean algorithm, long division, and prime factorization. Show
What is GCF of 48 and 60?Answer: GCF of 48 and 60 is 12. Explanation: The GCF of two non-zero integers, x(48) and y(60), is the greatest positive integer m(12) that divides both x(48) and y(60) without any remainder. Methods to Find GCF of 48 and 60The methods to find the GCF of 48 and 60 are explained below.
GCF of 48 and 60 by Prime FactorizationPrime factorization of 48 and 60 is (2 × 2 × 2 × 2 × 3) and (2 × 2 × 3 × 5) respectively. As visible, 48 and 60 have common prime factors. Hence, the GCF of 48 and 60 is 2 × 2 × 3 = 12. GCF of 48 and 60 by Listing Common Factors
There are 6 common factors of 48 and 60, that are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor of 48 and 60 is 12. GCF of 48 and 60 by Long DivisionGCF of 48 and 60 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
The corresponding divisor (12) is the GCF of 48 and 60. ☛ Also Check:
The GCF of 48 and 60 is 12. To calculate the GCF (Greatest Common Factor) of 48 and 60, we need to factor each number (factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48; factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60) and choose the greatest factor that exactly divides both 48 and 60, i.e., 12. What is the Relation Between LCM and GCF of 48, 60?The following equation can be used to express the relation between LCM and GCF of 48 and 60, i.e. GCF × LCM = 48 × 60. How to Find the GCF of 48 and 60 by Prime Factorization?To find the GCF of 48 and 60, we will find the prime factorization of the given numbers, i.e. 48 = 2 × 2 × 2 × 2 × 3; 60 = 2 × 2 × 3 × 5. ⇒ Since 2, 2, 3 are common terms in the prime factorization of 48 and 60. Hence, GCF(48, 60) = 2 × 2 × 3 = 12 ☛ What is a Prime Number? How to Find the GCF of 48 and 60 by Long Division Method?To find the GCF of 48, 60 using long division method, 60 is divided by 48. The corresponding divisor (12) when remainder equals 0 is taken as GCF. If the GCF of 60 and 48 is 12, Find its LCM.GCF(60, 48) × LCM(60, 48) = 60 × 48 Since the GCF of 60 and 48 = 12 ⇒ 12 × LCM(60, 48) = 2880 Therefore, LCM = 240 ☛ Greatest Common Factor Calculator What are the Methods to Find GCF of 48 and 60?There are three commonly used methods to find the GCF of 48 and 60.
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In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation. Menu Is the number 60 divisible by 48?A natural number 'A' could only be divisible by another number 'B' if after dividing 'A' by 'B' the remainder was zero.60 would be divisible by 48 only if there was a natural number 'n', so that: |