Greatest Common Factor of 7139/979, 8634/1423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7139/979, 8634/1423

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 7139/979,8634/1423

Given fractions are 7139/979,8634/1423

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 7139,8634

Greatest Common Factor of Numerators i.e. GCF of 7139,8634 is 1 .

LCM of Denominators means LCM of 979,1423 as per the given fractions.

LCM of 979,1423 is 1393117 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7139,8634

GCF of Fractions 7139/979,8634/1423 is 1/1393117

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

Greatest Common Factor of 7139,8634 By Matching Biggest Common Factor Method

Greatest Common Factor of 7139,8634 By Matching Biggest Common Factor Method

Factors of 7139

List of positive integer factors of 7139 that divides 7139 without a remainder.

1,11,59,121,649,7139

Factors of 8634

List of positive integer factors of 8634 that divides 8634 without a remainder.

1,2,3,6,1439,2878,4317,8634

Greatest Common Factor

We found the factors 7139,8634 . The biggest common factor number is the GCF number.
So the greatest common factor 7139,8634 is 1.

Lets's calculate LCM of 979,1423

Given numbers has no common factors except 1. So, there LCM is their product i.e 1393117

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1393117

Therefore, the GCF of Fractions 7139/979,8634/1423 is 1/1393117

Least Common Multiple of 979,1423 with GCF Formula

Least Common Multiple of 979,1423 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 979,1423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,1423) = 1

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

GCF(979,1423) x common factors =1 x 1 = 1

LCM(979,1423) = ( 979 × 1423 ) / 1

LCM(979,1423) = 1393117 / 1

LCM(979,1423) = 1393117


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 7139/979, 8634/1423

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 7139/979, 8634/1423?

Answer: GCF of Numerators as per given numbers 7139/979, 8634/1423 is

GCF of Numerators i.e. for 7139,8634 is 1

LCM of denominators i.e. for 979,1423 is 1393117.

Thus, GCF of Fractions is 1/1393117.Finally, GCF of Fractions for 7139/979, 8634/1423 is 1/1393117.