Greatest Common Factor of 8950/96, 1040/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8950/96, 1040/317

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 8950/96,1040/317

Given fractions are 8950/96,1040/317

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 8950,1040

Greatest Common Factor of Numerators i.e. GCF of 8950,1040 is 10 .

LCM of Denominators means LCM of 96,317 as per the given fractions.

LCM of 96,317 is 30432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8950,1040

GCF of Fractions 8950/96,1040/317 is 10/30432

2 8950, 1040
5 4475, 520
895, 104

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8950,1040 By Matching Biggest Common Factor Method

Greatest Common Factor of 8950,1040 By Matching Biggest Common Factor Method

Factors of 8950

List of positive integer factors of 8950 that divides 8950 without a remainder.

1,2,5,10,25,50,179,358,895,1790,4475,8950

Factors of 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040

Greatest Common Factor

We found the factors 8950,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 8950,1040 is 10.

Lets's calculate LCM of 96,317

Given numbers has no common factors except 1. So, there LCM is their product i.e 30432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/30432

Therefore, the GCF of Fractions 8950/96,1040/317 is 10/30432

Least Common Multiple of 96,317 with GCF Formula

Least Common Multiple of 96,317 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 96,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,317) = 1

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

GCF(96,317) x common factors =1 x 1 = 1

LCM(96,317) = ( 96 × 317 ) / 1

LCM(96,317) = 30432 / 1

LCM(96,317) = 30432


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 8950/96, 1040/317

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 8950/96, 1040/317?

Answer: GCF of Numerators as per given numbers 8950/96, 1040/317 is

GCF of Numerators i.e. for 8950,1040 is 10

LCM of denominators i.e. for 96,317 is 30432.

Thus, GCF of Fractions is 10/30432.Finally, GCF of Fractions for 8950/96, 1040/317 is 10/30432.