Greatest Common Factor of 56/674, 71/495, 602/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/674, 71/495, 602/344

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 56/674,71/495,602/344

Given fractions are 56/674,71/495,602/344

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 56,71,602

Greatest Common Factor of Numerators i.e. GCF of 56,71,602 is 1 .

LCM of Denominators means LCM of 674,495,344 as per the given fractions.

LCM of 674,495,344 is 57384360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,71,602

GCF of Fractions 56/674,71/495,602/344 is 1/57384360

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

Greatest Common Factor of 56,71,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,71,602 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 56,71,602 . The biggest common factor number is the GCF number.
So the greatest common factor 56,71,602 is 1.

Lets's calculate LCM of 674,495,344

2 674, 495, 344
337, 495, 172

∴ So the LCM of the given numbers is 2 x 337 x 495 x 172 = 57384360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57384360

Therefore, the GCF of Fractions 56/674,71/495,602/344 is 1/57384360

Least Common Multiple of 674,495,344 with GCF Formula

Least Common Multiple of 674,495,344 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 674,495,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,495,344) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(674,495,344) x common factors =1 x 2 = 2

LCM(674,495,344) = ( 674 × 495 × 344 ) / 2

LCM(674,495,344) = 114768720 / 2

LCM(674,495,344) = 57384360


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 56/674, 71/495, 602/344

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 56/674, 71/495, 602/344?

Answer: GCF of Numerators as per given numbers 56/674, 71/495, 602/344 is

GCF of Numerators i.e. for 56,71,602 is 1

LCM of denominators i.e. for 674,495,344 is 57384360.

Thus, GCF of Fractions is 1/57384360.Finally, GCF of Fractions for 56/674, 71/495, 602/344 is 1/57384360.