Greatest Common Factor of 292/743, 507/684, 152/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 292/743, 507/684, 152/171

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 292/743,507/684,152/171

Given fractions are 292/743,507/684,152/171

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 292,507,152

Greatest Common Factor of Numerators i.e. GCF of 292,507,152 is 1 .

LCM of Denominators means LCM of 743,684,171 as per the given fractions.

LCM of 743,684,171 is 508212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 292,507,152

GCF of Fractions 292/743,507/684,152/171 is 1/508212

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 292,507,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,507,152 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

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 292,507,152 . The biggest common factor number is the GCF number.
So the greatest common factor 292,507,152 is 1.

Lets's calculate LCM of 743,684,171

3 743, 684, 171
3 743, 228, 57
19 743, 76, 19
743, 4, 1

∴ So the LCM of the given numbers is 3 x 3 x 19 x 743 x 4 x 1 = 508212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/508212

Therefore, the GCF of Fractions 292/743,507/684,152/171 is 1/508212

Least Common Multiple of 743,684,171 with GCF Formula

Least Common Multiple of 743,684,171 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 743,684,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,684,171) = 1

common factors(in case of two or more numbers have common factors) = 171

GCF(743,684,171) x common factors =1 x 171 = 171

LCM(743,684,171) = ( 743 × 684 × 171 ) / 171

LCM(743,684,171) = 86904252 / 171

LCM(743,684,171) = 508212


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 292/743, 507/684, 152/171

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 292/743, 507/684, 152/171?

Answer: GCF of Numerators as per given numbers 292/743, 507/684, 152/171 is

GCF of Numerators i.e. for 292,507,152 is 1

LCM of denominators i.e. for 743,684,171 is 508212.

Thus, GCF of Fractions is 1/508212.Finally, GCF of Fractions for 292/743, 507/684, 152/171 is 1/508212.