Greatest Common Factor of 2670/74, 5132/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2670/74, 5132/646

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 2670/74,5132/646

Given fractions are 2670/74,5132/646

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 2670,5132

Greatest Common Factor of Numerators i.e. GCF of 2670,5132 is 2 .

LCM of Denominators means LCM of 74,646 as per the given fractions.

LCM of 74,646 is 23902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2670,5132

GCF of Fractions 2670/74,5132/646 is 2/23902

2 2670, 5132
1335, 2566

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

Greatest Common Factor of 2670,5132 By Matching Biggest Common Factor Method

Greatest Common Factor of 2670,5132 By Matching Biggest Common Factor Method

Factors of 2670

List of positive integer factors of 2670 that divides 2670 without a remainder.

1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670

Factors of 5132

List of positive integer factors of 5132 that divides 5132 without a remainder.

1,2,4,1283,2566,5132

Greatest Common Factor

We found the factors 2670,5132 . The biggest common factor number is the GCF number.
So the greatest common factor 2670,5132 is 2.

Lets's calculate LCM of 74,646

2 74, 646
37, 323

∴ So the LCM of the given numbers is 2 x 37 x 323 = 23902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23902

Therefore, the GCF of Fractions 2670/74,5132/646 is 2/23902

Least Common Multiple of 74,646 with GCF Formula

Least Common Multiple of 74,646 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 74,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,646) = 2

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

GCF(74,646) x common factors =2 x 1 = 2

LCM(74,646) = ( 74 × 646 ) / 2

LCM(74,646) = 47804 / 2

LCM(74,646) = 23902


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 2670/74, 5132/646

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 2670/74, 5132/646?

Answer: GCF of Numerators as per given numbers 2670/74, 5132/646 is

GCF of Numerators i.e. for 2670,5132 is 2

LCM of denominators i.e. for 74,646 is 23902.

Thus, GCF of Fractions is 2/23902.Finally, GCF of Fractions for 2670/74, 5132/646 is 2/23902.