Greatest Common Factor of 9959/280, 9257/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9959/280, 9257/494

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 9959/280,9257/494

Given fractions are 9959/280,9257/494

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 9959,9257

Greatest Common Factor of Numerators i.e. GCF of 9959,9257 is 1 .

LCM of Denominators means LCM of 280,494 as per the given fractions.

LCM of 280,494 is 69160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9959,9257

GCF of Fractions 9959/280,9257/494 is 1/69160

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

Greatest Common Factor of 9959,9257 By Matching Biggest Common Factor Method

Greatest Common Factor of 9959,9257 By Matching Biggest Common Factor Method

Factors of 9959

List of positive integer factors of 9959 that divides 9959 without a remainder.

1,23,433,9959

Factors of 9257

List of positive integer factors of 9257 that divides 9257 without a remainder.

1,9257

Greatest Common Factor

We found the factors 9959,9257 . The biggest common factor number is the GCF number.
So the greatest common factor 9959,9257 is 1.

Lets's calculate LCM of 280,494

2 280, 494
140, 247

∴ So the LCM of the given numbers is 2 x 140 x 247 = 69160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69160

Therefore, the GCF of Fractions 9959/280,9257/494 is 1/69160

Least Common Multiple of 280,494 with GCF Formula

Least Common Multiple of 280,494 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 280,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,494) = 2

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

GCF(280,494) x common factors =2 x 1 = 2

LCM(280,494) = ( 280 × 494 ) / 2

LCM(280,494) = 138320 / 2

LCM(280,494) = 69160


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 9959/280, 9257/494

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 9959/280, 9257/494?

Answer: GCF of Numerators as per given numbers 9959/280, 9257/494 is

GCF of Numerators i.e. for 9959,9257 is 1

LCM of denominators i.e. for 280,494 is 69160.

Thus, GCF of Fractions is 1/69160.Finally, GCF of Fractions for 9959/280, 9257/494 is 1/69160.