Greatest Common Factor of 9274/157, 1300/9516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9274/157, 1300/9516

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 9274/157,1300/9516

Given fractions are 9274/157,1300/9516

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 9274,1300

Greatest Common Factor of Numerators i.e. GCF of 9274,1300 is 2 .

LCM of Denominators means LCM of 157,9516 as per the given fractions.

LCM of 157,9516 is 1494012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9274,1300

GCF of Fractions 9274/157,1300/9516 is 2/1494012

2 9274, 1300
4637, 650

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9274,1300 By Matching Biggest Common Factor Method

Greatest Common Factor of 9274,1300 By Matching Biggest Common Factor Method

Factors of 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1,2,4637,9274

Factors of 1300

List of positive integer factors of 1300 that divides 1300 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300

Greatest Common Factor

We found the factors 9274,1300 . The biggest common factor number is the GCF number.
So the greatest common factor 9274,1300 is 2.

Lets's calculate LCM of 157,9516

Given numbers has no common factors except 1. So, there LCM is their product i.e 1494012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1494012

Therefore, the GCF of Fractions 9274/157,1300/9516 is 2/1494012

Least Common Multiple of 157,9516 with GCF Formula

Least Common Multiple of 157,9516 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 157,9516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,9516) = 1

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

GCF(157,9516) x common factors =1 x 1 = 1

LCM(157,9516) = ( 157 × 9516 ) / 1

LCM(157,9516) = 1494012 / 1

LCM(157,9516) = 1494012


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 9274/157, 1300/9516

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 9274/157, 1300/9516?

Answer: GCF of Numerators as per given numbers 9274/157, 1300/9516 is

GCF of Numerators i.e. for 9274,1300 is 2

LCM of denominators i.e. for 157,9516 is 1494012.

Thus, GCF of Fractions is 2/1494012.Finally, GCF of Fractions for 9274/157, 1300/9516 is 2/1494012.