Greatest Common Factor of 7852/71, 5129/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7852/71, 5129/985

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 7852/71,5129/985

Given fractions are 7852/71,5129/985

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 7852,5129

Greatest Common Factor of Numerators i.e. GCF of 7852,5129 is 1 .

LCM of Denominators means LCM of 71,985 as per the given fractions.

LCM of 71,985 is 69935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7852,5129

GCF of Fractions 7852/71,5129/985 is 1/69935

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

Greatest Common Factor of 7852,5129 By Matching Biggest Common Factor Method

Greatest Common Factor of 7852,5129 By Matching Biggest Common Factor Method

Factors of 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1,2,4,13,26,52,151,302,604,1963,3926,7852

Factors of 5129

List of positive integer factors of 5129 that divides 5129 without a remainder.

1,23,223,5129

Greatest Common Factor

We found the factors 7852,5129 . The biggest common factor number is the GCF number.
So the greatest common factor 7852,5129 is 1.

Lets's calculate LCM of 71,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 69935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69935

Therefore, the GCF of Fractions 7852/71,5129/985 is 1/69935

Least Common Multiple of 71,985 with GCF Formula

Least Common Multiple of 71,985 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 71,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,985) = 1

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

GCF(71,985) x common factors =1 x 1 = 1

LCM(71,985) = ( 71 × 985 ) / 1

LCM(71,985) = 69935 / 1

LCM(71,985) = 69935


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 7852/71, 5129/985

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 7852/71, 5129/985?

Answer: GCF of Numerators as per given numbers 7852/71, 5129/985 is

GCF of Numerators i.e. for 7852,5129 is 1

LCM of denominators i.e. for 71,985 is 69935.

Thus, GCF of Fractions is 1/69935.Finally, GCF of Fractions for 7852/71, 5129/985 is 1/69935.