Greatest Common Factor of 129/44, 5022/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 129/44, 5022/997

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 129/44,5022/997

Given fractions are 129/44,5022/997

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 129,5022

Greatest Common Factor of Numerators i.e. GCF of 129,5022 is 3 .

LCM of Denominators means LCM of 44,997 as per the given fractions.

LCM of 44,997 is 43868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 129,5022

GCF of Fractions 129/44,5022/997 is 3/43868

3 129, 5022
43, 1674

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

Greatest Common Factor of 129,5022 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,5022 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 5022

List of positive integer factors of 5022 that divides 5022 without a remainder.

1,2,3,6,9,18,27,31,54,62,81,93,162,186,279,558,837,1674,2511,5022

Greatest Common Factor

We found the factors 129,5022 . The biggest common factor number is the GCF number.
So the greatest common factor 129,5022 is 3.

Lets's calculate LCM of 44,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 43868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43868

Therefore, the GCF of Fractions 129/44,5022/997 is 3/43868

Least Common Multiple of 44,997 with GCF Formula

Least Common Multiple of 44,997 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 44,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,997) = 1

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

GCF(44,997) x common factors =1 x 1 = 1

LCM(44,997) = ( 44 × 997 ) / 1

LCM(44,997) = 43868 / 1

LCM(44,997) = 43868


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 129/44, 5022/997

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 129/44, 5022/997?

Answer: GCF of Numerators as per given numbers 129/44, 5022/997 is

GCF of Numerators i.e. for 129,5022 is 3

LCM of denominators i.e. for 44,997 is 43868.

Thus, GCF of Fractions is 3/43868.Finally, GCF of Fractions for 129/44, 5022/997 is 3/43868.