Greatest Common Factor of 8945/690, 7156/5634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8945/690, 7156/5634

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 8945/690,7156/5634

Given fractions are 8945/690,7156/5634

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 8945,7156

Greatest Common Factor of Numerators i.e. GCF of 8945,7156 is 1789 .

LCM of Denominators means LCM of 690,5634 as per the given fractions.

LCM of 690,5634 is 647910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8945,7156

GCF of Fractions 8945/690,7156/5634 is 1789/647910

1789 8945, 7156
5, 4

∴ So the GCF of the given numbers is 1789 = 1789

Greatest Common Factor of 8945,7156 By Matching Biggest Common Factor Method

Greatest Common Factor of 8945,7156 By Matching Biggest Common Factor Method

Factors of 8945

List of positive integer factors of 8945 that divides 8945 without a remainder.

1,5,1789,8945

Factors of 7156

List of positive integer factors of 7156 that divides 7156 without a remainder.

1,2,4,1789,3578,7156

Greatest Common Factor

We found the factors 8945,7156 . The biggest common factor number is the GCF number.
So the greatest common factor 8945,7156 is 1789.

Lets's calculate LCM of 690,5634

2 690, 5634
3 345, 2817
115, 939

∴ So the LCM of the given numbers is 2 x 3 x 115 x 939 = 647910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1789/647910

Therefore, the GCF of Fractions 8945/690,7156/5634 is 1789/647910

Least Common Multiple of 690,5634 with GCF Formula

Least Common Multiple of 690,5634 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 690,5634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,5634) = 6

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

GCF(690,5634) x common factors =6 x 1 = 6

LCM(690,5634) = ( 690 × 5634 ) / 6

LCM(690,5634) = 3887460 / 6

LCM(690,5634) = 647910


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 8945/690, 7156/5634

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 8945/690, 7156/5634?

Answer: GCF of Numerators as per given numbers 8945/690, 7156/5634 is

GCF of Numerators i.e. for 8945,7156 is 1789

LCM of denominators i.e. for 690,5634 is 647910.

Thus, GCF of Fractions is 1789/647910.Finally, GCF of Fractions for 8945/690, 7156/5634 is 1789/647910.