Greatest Common Factor of 9508/950, 5254/6947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9508/950, 5254/6947

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 9508/950,5254/6947

Given fractions are 9508/950,5254/6947

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 9508,5254

Greatest Common Factor of Numerators i.e. GCF of 9508,5254 is 2 .

LCM of Denominators means LCM of 950,6947 as per the given fractions.

LCM of 950,6947 is 6599650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9508,5254

GCF of Fractions 9508/950,5254/6947 is 2/6599650

2 9508, 5254
4754, 2627

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

Greatest Common Factor of 9508,5254 By Matching Biggest Common Factor Method

Greatest Common Factor of 9508,5254 By Matching Biggest Common Factor Method

Factors of 9508

List of positive integer factors of 9508 that divides 9508 without a remainder.

1,2,4,2377,4754,9508

Factors of 5254

List of positive integer factors of 5254 that divides 5254 without a remainder.

1,2,37,71,74,142,2627,5254

Greatest Common Factor

We found the factors 9508,5254 . The biggest common factor number is the GCF number.
So the greatest common factor 9508,5254 is 2.

Lets's calculate LCM of 950,6947

Given numbers has no common factors except 1. So, there LCM is their product i.e 6599650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6599650

Therefore, the GCF of Fractions 9508/950,5254/6947 is 2/6599650

Least Common Multiple of 950,6947 with GCF Formula

Least Common Multiple of 950,6947 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 950,6947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,6947) = 1

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

GCF(950,6947) x common factors =1 x 1 = 1

LCM(950,6947) = ( 950 × 6947 ) / 1

LCM(950,6947) = 6599650 / 1

LCM(950,6947) = 6599650


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 9508/950, 5254/6947

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 9508/950, 5254/6947?

Answer: GCF of Numerators as per given numbers 9508/950, 5254/6947 is

GCF of Numerators i.e. for 9508,5254 is 2

LCM of denominators i.e. for 950,6947 is 6599650.

Thus, GCF of Fractions is 2/6599650.Finally, GCF of Fractions for 9508/950, 5254/6947 is 2/6599650.