Greatest Common Factor of 40/469, 152/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/469, 152/731

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 40/469,152/731

Given fractions are 40/469,152/731

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 40,152

Greatest Common Factor of Numerators i.e. GCF of 40,152 is 8 .

LCM of Denominators means LCM of 469,731 as per the given fractions.

LCM of 469,731 is 342839 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,152

GCF of Fractions 40/469,152/731 is 8/342839

2 40, 152
2 20, 76
2 10, 38
5, 19

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 40,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,152 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 40,152 . The biggest common factor number is the GCF number.
So the greatest common factor 40,152 is 8.

Lets's calculate LCM of 469,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 342839

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/342839

Therefore, the GCF of Fractions 40/469,152/731 is 8/342839

Least Common Multiple of 469,731 with GCF Formula

Least Common Multiple of 469,731 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 469,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,731) = 1

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

GCF(469,731) x common factors =1 x 1 = 1

LCM(469,731) = ( 469 × 731 ) / 1

LCM(469,731) = 342839 / 1

LCM(469,731) = 342839


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 40/469, 152/731

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 40/469, 152/731?

Answer: GCF of Numerators as per given numbers 40/469, 152/731 is

GCF of Numerators i.e. for 40,152 is 8

LCM of denominators i.e. for 469,731 is 342839.

Thus, GCF of Fractions is 8/342839.Finally, GCF of Fractions for 40/469, 152/731 is 8/342839.