Greatest Common Factor of 37/656, 97/112, 874/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/656, 97/112, 874/278

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 37/656,97/112,874/278

Given fractions are 37/656,97/112,874/278

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 37,97,874

Greatest Common Factor of Numerators i.e. GCF of 37,97,874 is 1 .

LCM of Denominators means LCM of 656,112,278 as per the given fractions.

LCM of 656,112,278 is 638288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,97,874

GCF of Fractions 37/656,97/112,874/278 is 1/638288

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

Greatest Common Factor of 37,97,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,97,874 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 37,97,874 . The biggest common factor number is the GCF number.
So the greatest common factor 37,97,874 is 1.

Lets's calculate LCM of 656,112,278

2 656, 112, 278
2 328, 56, 139
2 164, 28, 139
2 82, 14, 139
41, 7, 139

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 41 x 7 x 139 = 638288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638288

Therefore, the GCF of Fractions 37/656,97/112,874/278 is 1/638288

Least Common Multiple of 656,112,278 with GCF Formula

Least Common Multiple of 656,112,278 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 656,112,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,112,278) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(656,112,278) x common factors =2 x 16 = 32

LCM(656,112,278) = ( 656 × 112 × 278 ) / 32

LCM(656,112,278) = 20425216 / 32

LCM(656,112,278) = 638288


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 37/656, 97/112, 874/278

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 37/656, 97/112, 874/278?

Answer: GCF of Numerators as per given numbers 37/656, 97/112, 874/278 is

GCF of Numerators i.e. for 37,97,874 is 1

LCM of denominators i.e. for 656,112,278 is 638288.

Thus, GCF of Fractions is 1/638288.Finally, GCF of Fractions for 37/656, 97/112, 874/278 is 1/638288.