Greatest Common Factor of 9070/981, 5128/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9070/981, 5128/933

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 9070/981,5128/933

Given fractions are 9070/981,5128/933

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 9070,5128

Greatest Common Factor of Numerators i.e. GCF of 9070,5128 is 2 .

LCM of Denominators means LCM of 981,933 as per the given fractions.

LCM of 981,933 is 305091 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9070,5128

GCF of Fractions 9070/981,5128/933 is 2/305091

2 9070, 5128
4535, 2564

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

Greatest Common Factor of 9070,5128 By Matching Biggest Common Factor Method

Greatest Common Factor of 9070,5128 By Matching Biggest Common Factor Method

Factors of 9070

List of positive integer factors of 9070 that divides 9070 without a remainder.

1,2,5,10,907,1814,4535,9070

Factors of 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1,2,4,8,641,1282,2564,5128

Greatest Common Factor

We found the factors 9070,5128 . The biggest common factor number is the GCF number.
So the greatest common factor 9070,5128 is 2.

Lets's calculate LCM of 981,933

3 981, 933
327, 311

∴ So the LCM of the given numbers is 3 x 327 x 311 = 305091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/305091

Therefore, the GCF of Fractions 9070/981,5128/933 is 2/305091

Least Common Multiple of 981,933 with GCF Formula

Least Common Multiple of 981,933 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 981,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,933) = 3

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

GCF(981,933) x common factors =3 x 1 = 3

LCM(981,933) = ( 981 × 933 ) / 3

LCM(981,933) = 915273 / 3

LCM(981,933) = 305091


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 9070/981, 5128/933

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 9070/981, 5128/933?

Answer: GCF of Numerators as per given numbers 9070/981, 5128/933 is

GCF of Numerators i.e. for 9070,5128 is 2

LCM of denominators i.e. for 981,933 is 305091.

Thus, GCF of Fractions is 2/305091.Finally, GCF of Fractions for 9070/981, 5128/933 is 2/305091.