Greatest Common Factor of 4949/512, 7204/6312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4949/512, 7204/6312

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 4949/512,7204/6312

Given fractions are 4949/512,7204/6312

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 4949,7204

Greatest Common Factor of Numerators i.e. GCF of 4949,7204 is 1 .

LCM of Denominators means LCM of 512,6312 as per the given fractions.

LCM of 512,6312 is 403968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4949,7204

GCF of Fractions 4949/512,7204/6312 is 1/403968

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4949,7204 By Matching Biggest Common Factor Method

Greatest Common Factor of 4949,7204 By Matching Biggest Common Factor Method

Factors of 4949

List of positive integer factors of 4949 that divides 4949 without a remainder.

1,7,49,101,707,4949

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1,2,4,1801,3602,7204

Greatest Common Factor

We found the factors 4949,7204 . The biggest common factor number is the GCF number.
So the greatest common factor 4949,7204 is 1.

Lets's calculate LCM of 512,6312

2 512, 6312
2 256, 3156
2 128, 1578
64, 789

∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 789 = 403968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403968

Therefore, the GCF of Fractions 4949/512,7204/6312 is 1/403968

Least Common Multiple of 512,6312 with GCF Formula

Least Common Multiple of 512,6312 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 512,6312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,6312) = 8

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

GCF(512,6312) x common factors =8 x 1 = 8

LCM(512,6312) = ( 512 × 6312 ) / 8

LCM(512,6312) = 3231744 / 8

LCM(512,6312) = 403968


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 4949/512, 7204/6312

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 4949/512, 7204/6312?

Answer: GCF of Numerators as per given numbers 4949/512, 7204/6312 is

GCF of Numerators i.e. for 4949,7204 is 1

LCM of denominators i.e. for 512,6312 is 403968.

Thus, GCF of Fractions is 1/403968.Finally, GCF of Fractions for 4949/512, 7204/6312 is 1/403968.