Greatest Common Factor of 674/60, 2594/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 674/60, 2594/535

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 674/60,2594/535

Given fractions are 674/60,2594/535

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 674,2594

Greatest Common Factor of Numerators i.e. GCF of 674,2594 is 2 .

LCM of Denominators means LCM of 60,535 as per the given fractions.

LCM of 60,535 is 6420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 674,2594

GCF of Fractions 674/60,2594/535 is 2/6420

2 674, 2594
337, 1297

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

Greatest Common Factor of 674,2594 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,2594 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 2594

List of positive integer factors of 2594 that divides 2594 without a remainder.

1,2,1297,2594

Greatest Common Factor

We found the factors 674,2594 . The biggest common factor number is the GCF number.
So the greatest common factor 674,2594 is 2.

Lets's calculate LCM of 60,535

5 60, 535
12, 107

∴ So the LCM of the given numbers is 5 x 12 x 107 = 6420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6420

Therefore, the GCF of Fractions 674/60,2594/535 is 2/6420

Least Common Multiple of 60,535 with GCF Formula

Least Common Multiple of 60,535 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 60,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,535) = 5

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

GCF(60,535) x common factors =5 x 1 = 5

LCM(60,535) = ( 60 × 535 ) / 5

LCM(60,535) = 32100 / 5

LCM(60,535) = 6420


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 674/60, 2594/535

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 674/60, 2594/535?

Answer: GCF of Numerators as per given numbers 674/60, 2594/535 is

GCF of Numerators i.e. for 674,2594 is 2

LCM of denominators i.e. for 60,535 is 6420.

Thus, GCF of Fractions is 2/6420.Finally, GCF of Fractions for 674/60, 2594/535 is 2/6420.