Greatest Common Factor of 9877/129, 3129/7224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9877/129, 3129/7224

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 9877/129,3129/7224

Given fractions are 9877/129,3129/7224

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 9877,3129

Greatest Common Factor of Numerators i.e. GCF of 9877,3129 is 7 .

LCM of Denominators means LCM of 129,7224 as per the given fractions.

LCM of 129,7224 is 7224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9877,3129

GCF of Fractions 9877/129,3129/7224 is 7/7224

7 9877, 3129
1411, 447

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9877,3129 By Matching Biggest Common Factor Method

Greatest Common Factor of 9877,3129 By Matching Biggest Common Factor Method

Factors of 9877

List of positive integer factors of 9877 that divides 9877 without a remainder.

1,7,17,83,119,581,1411,9877

Factors of 3129

List of positive integer factors of 3129 that divides 3129 without a remainder.

1,3,7,21,149,447,1043,3129

Greatest Common Factor

We found the factors 9877,3129 . The biggest common factor number is the GCF number.
So the greatest common factor 9877,3129 is 7.

Lets's calculate LCM of 129,7224

3 129, 7224
43 43, 2408
1, 56

∴ So the LCM of the given numbers is 3 x 43 x 1 x 56 = 7224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/7224

Therefore, the GCF of Fractions 9877/129,3129/7224 is 7/7224

Least Common Multiple of 129,7224 with GCF Formula

Least Common Multiple of 129,7224 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 129,7224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,7224) = 129

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

GCF(129,7224) x common factors =129 x 1 = 129

LCM(129,7224) = ( 129 × 7224 ) / 129

LCM(129,7224) = 931896 / 129

LCM(129,7224) = 7224


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 9877/129, 3129/7224

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 9877/129, 3129/7224?

Answer: GCF of Numerators as per given numbers 9877/129, 3129/7224 is

GCF of Numerators i.e. for 9877,3129 is 7

LCM of denominators i.e. for 129,7224 is 7224.

Thus, GCF of Fractions is 7/7224.Finally, GCF of Fractions for 9877/129, 3129/7224 is 7/7224.