Greatest Common Factor of 632/471, 7138/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 632/471, 7138/757

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 632/471,7138/757

Given fractions are 632/471,7138/757

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 632,7138

Greatest Common Factor of Numerators i.e. GCF of 632,7138 is 2 .

LCM of Denominators means LCM of 471,757 as per the given fractions.

LCM of 471,757 is 356547 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 632,7138

GCF of Fractions 632/471,7138/757 is 2/356547

2 632, 7138
316, 3569

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

Greatest Common Factor of 632,7138 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,7138 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1,2,43,83,86,166,3569,7138

Greatest Common Factor

We found the factors 632,7138 . The biggest common factor number is the GCF number.
So the greatest common factor 632,7138 is 2.

Lets's calculate LCM of 471,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 356547

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/356547

Therefore, the GCF of Fractions 632/471,7138/757 is 2/356547

Least Common Multiple of 471,757 with GCF Formula

Least Common Multiple of 471,757 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 471,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,757) = 1

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

GCF(471,757) x common factors =1 x 1 = 1

LCM(471,757) = ( 471 × 757 ) / 1

LCM(471,757) = 356547 / 1

LCM(471,757) = 356547


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 632/471, 7138/757

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 632/471, 7138/757?

Answer: GCF of Numerators as per given numbers 632/471, 7138/757 is

GCF of Numerators i.e. for 632,7138 is 2

LCM of denominators i.e. for 471,757 is 356547.

Thus, GCF of Fractions is 2/356547.Finally, GCF of Fractions for 632/471, 7138/757 is 2/356547.