Greatest Common Factor of 9514/95, 4047/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9514/95, 4047/140

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 9514/95,4047/140

Given fractions are 9514/95,4047/140

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 9514,4047

Greatest Common Factor of Numerators i.e. GCF of 9514,4047 is 71 .

LCM of Denominators means LCM of 95,140 as per the given fractions.

LCM of 95,140 is 2660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9514,4047

GCF of Fractions 9514/95,4047/140 is 71/2660

71 9514, 4047
134, 57

∴ So the GCF of the given numbers is 71 = 71

Greatest Common Factor of 9514,4047 By Matching Biggest Common Factor Method

Greatest Common Factor of 9514,4047 By Matching Biggest Common Factor Method

Factors of 9514

List of positive integer factors of 9514 that divides 9514 without a remainder.

1,2,67,71,134,142,4757,9514

Factors of 4047

List of positive integer factors of 4047 that divides 4047 without a remainder.

1,3,19,57,71,213,1349,4047

Greatest Common Factor

We found the factors 9514,4047 . The biggest common factor number is the GCF number.
So the greatest common factor 9514,4047 is 71.

Lets's calculate LCM of 95,140

5 95, 140
19, 28

∴ So the LCM of the given numbers is 5 x 19 x 28 = 2660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/2660

Therefore, the GCF of Fractions 9514/95,4047/140 is 71/2660

Least Common Multiple of 95,140 with GCF Formula

Least Common Multiple of 95,140 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 95,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,140) = 5

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

GCF(95,140) x common factors =5 x 1 = 5

LCM(95,140) = ( 95 × 140 ) / 5

LCM(95,140) = 13300 / 5

LCM(95,140) = 2660


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 9514/95, 4047/140

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 9514/95, 4047/140?

Answer: GCF of Numerators as per given numbers 9514/95, 4047/140 is

GCF of Numerators i.e. for 9514,4047 is 71

LCM of denominators i.e. for 95,140 is 2660.

Thus, GCF of Fractions is 71/2660.Finally, GCF of Fractions for 9514/95, 4047/140 is 71/2660.