Greatest Common Factor of 7495/142, 9534/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7495/142, 9534/676

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 7495/142,9534/676

Given fractions are 7495/142,9534/676

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 7495,9534

Greatest Common Factor of Numerators i.e. GCF of 7495,9534 is 1 .

LCM of Denominators means LCM of 142,676 as per the given fractions.

LCM of 142,676 is 47996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7495,9534

GCF of Fractions 7495/142,9534/676 is 1/47996

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

Greatest Common Factor of 7495,9534 By Matching Biggest Common Factor Method

Greatest Common Factor of 7495,9534 By Matching Biggest Common Factor Method

Factors of 7495

List of positive integer factors of 7495 that divides 7495 without a remainder.

1,5,1499,7495

Factors of 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1,2,3,6,7,14,21,42,227,454,681,1362,1589,3178,4767,9534

Greatest Common Factor

We found the factors 7495,9534 . The biggest common factor number is the GCF number.
So the greatest common factor 7495,9534 is 1.

Lets's calculate LCM of 142,676

2 142, 676
71, 338

∴ So the LCM of the given numbers is 2 x 71 x 338 = 47996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47996

Therefore, the GCF of Fractions 7495/142,9534/676 is 1/47996

Least Common Multiple of 142,676 with GCF Formula

Least Common Multiple of 142,676 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 142,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,676) = 2

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

GCF(142,676) x common factors =2 x 1 = 2

LCM(142,676) = ( 142 × 676 ) / 2

LCM(142,676) = 95992 / 2

LCM(142,676) = 47996


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 7495/142, 9534/676

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 7495/142, 9534/676?

Answer: GCF of Numerators as per given numbers 7495/142, 9534/676 is

GCF of Numerators i.e. for 7495,9534 is 1

LCM of denominators i.e. for 142,676 is 47996.

Thus, GCF of Fractions is 1/47996.Finally, GCF of Fractions for 7495/142, 9534/676 is 1/47996.