Greatest Common Factor of 9247/959, 8138/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9247/959, 8138/448

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 9247/959,8138/448

Given fractions are 9247/959,8138/448

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 9247,8138

Greatest Common Factor of Numerators i.e. GCF of 9247,8138 is 1 .

LCM of Denominators means LCM of 959,448 as per the given fractions.

LCM of 959,448 is 61376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9247,8138

GCF of Fractions 9247/959,8138/448 is 1/61376

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

Greatest Common Factor of 9247,8138 By Matching Biggest Common Factor Method

Greatest Common Factor of 9247,8138 By Matching Biggest Common Factor Method

Factors of 9247

List of positive integer factors of 9247 that divides 9247 without a remainder.

1,7,1321,9247

Factors of 8138

List of positive integer factors of 8138 that divides 8138 without a remainder.

1,2,13,26,313,626,4069,8138

Greatest Common Factor

We found the factors 9247,8138 . The biggest common factor number is the GCF number.
So the greatest common factor 9247,8138 is 1.

Lets's calculate LCM of 959,448

7 959, 448
137, 64

∴ So the LCM of the given numbers is 7 x 137 x 64 = 61376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61376

Therefore, the GCF of Fractions 9247/959,8138/448 is 1/61376

Least Common Multiple of 959,448 with GCF Formula

Least Common Multiple of 959,448 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 959,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,448) = 7

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

GCF(959,448) x common factors =7 x 1 = 7

LCM(959,448) = ( 959 × 448 ) / 7

LCM(959,448) = 429632 / 7

LCM(959,448) = 61376


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 9247/959, 8138/448

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 9247/959, 8138/448?

Answer: GCF of Numerators as per given numbers 9247/959, 8138/448 is

GCF of Numerators i.e. for 9247,8138 is 1

LCM of denominators i.e. for 959,448 is 61376.

Thus, GCF of Fractions is 1/61376.Finally, GCF of Fractions for 9247/959, 8138/448 is 1/61376.