Greatest Common Factor of 4569/951, 5016/7479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4569/951, 5016/7479

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 4569/951,5016/7479

Given fractions are 4569/951,5016/7479

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 4569,5016

Greatest Common Factor of Numerators i.e. GCF of 4569,5016 is 3 .

LCM of Denominators means LCM of 951,7479 as per the given fractions.

LCM of 951,7479 is 2370843 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4569,5016

GCF of Fractions 4569/951,5016/7479 is 3/2370843

3 4569, 5016
1523, 1672

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4569,5016 By Matching Biggest Common Factor Method

Greatest Common Factor of 4569,5016 By Matching Biggest Common Factor Method

Factors of 4569

List of positive integer factors of 4569 that divides 4569 without a remainder.

1,3,1523,4569

Factors of 5016

List of positive integer factors of 5016 that divides 5016 without a remainder.

1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016

Greatest Common Factor

We found the factors 4569,5016 . The biggest common factor number is the GCF number.
So the greatest common factor 4569,5016 is 3.

Lets's calculate LCM of 951,7479

3 951, 7479
317, 2493

∴ So the LCM of the given numbers is 3 x 317 x 2493 = 2370843

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2370843

Therefore, the GCF of Fractions 4569/951,5016/7479 is 3/2370843

Least Common Multiple of 951,7479 with GCF Formula

Least Common Multiple of 951,7479 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 951,7479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,7479) = 3

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

GCF(951,7479) x common factors =3 x 1 = 3

LCM(951,7479) = ( 951 × 7479 ) / 3

LCM(951,7479) = 7112529 / 3

LCM(951,7479) = 2370843


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 4569/951, 5016/7479

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 4569/951, 5016/7479?

Answer: GCF of Numerators as per given numbers 4569/951, 5016/7479 is

GCF of Numerators i.e. for 4569,5016 is 3

LCM of denominators i.e. for 951,7479 is 2370843.

Thus, GCF of Fractions is 3/2370843.Finally, GCF of Fractions for 4569/951, 5016/7479 is 3/2370843.