Greatest Common Factor of 5242/63, 4152/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5242/63, 4152/428

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5242/63,4152/428

Given fractions are 5242/63,4152/428

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5242,4152

Greatest Common Factor of Numerators i.e. GCF of 5242,4152 is 2 .

LCM of Denominators means LCM of 63,428 as per the given fractions.

LCM of 63,428 is 26964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5242,4152

GCF of Fractions 5242/63,4152/428 is 2/26964

2 5242, 4152
2621, 2076

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5242,4152 By Matching Biggest Common Factor Method

Greatest Common Factor of 5242,4152 By Matching Biggest Common Factor Method

Factors of 5242

List of positive integer factors of 5242 that divides 5242 without a remainder.

1,2,2621,5242

Factors of 4152

List of positive integer factors of 4152 that divides 4152 without a remainder.

1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152

Greatest Common Factor

We found the factors 5242,4152 . The biggest common factor number is the GCF number.
So the greatest common factor 5242,4152 is 2.

Lets's calculate LCM of 63,428

Given numbers has no common factors except 1. So, there LCM is their product i.e 26964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26964

Therefore, the GCF of Fractions 5242/63,4152/428 is 2/26964

Least Common Multiple of 63,428 with GCF Formula

Least Common Multiple of 63,428 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 63,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,428) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(63,428) x common factors =1 x 1 = 1

LCM(63,428) = ( 63 × 428 ) / 1

LCM(63,428) = 26964 / 1

LCM(63,428) = 26964


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5242/63, 4152/428

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5242/63, 4152/428?

Answer: GCF of Numerators as per given numbers 5242/63, 4152/428 is

GCF of Numerators i.e. for 5242,4152 is 2

LCM of denominators i.e. for 63,428 is 26964.

Thus, GCF of Fractions is 2/26964.Finally, GCF of Fractions for 5242/63, 4152/428 is 2/26964.