Greatest Common Factor of 644/61, 140/2956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/61, 140/2956

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 644/61,140/2956

Given fractions are 644/61,140/2956

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 644,140

Greatest Common Factor of Numerators i.e. GCF of 644,140 is 28 .

LCM of Denominators means LCM of 61,2956 as per the given fractions.

LCM of 61,2956 is 180316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,140

GCF of Fractions 644/61,140/2956 is 28/180316

2 644, 140
2 322, 70
7 161, 35
23, 5

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 644,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,140 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 644,140 . The biggest common factor number is the GCF number.
So the greatest common factor 644,140 is 28.

Lets's calculate LCM of 61,2956

Given numbers has no common factors except 1. So, there LCM is their product i.e 180316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/180316

Therefore, the GCF of Fractions 644/61,140/2956 is 28/180316

Least Common Multiple of 61,2956 with GCF Formula

Least Common Multiple of 61,2956 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 61,2956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,2956) = 1

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

GCF(61,2956) x common factors =1 x 1 = 1

LCM(61,2956) = ( 61 × 2956 ) / 1

LCM(61,2956) = 180316 / 1

LCM(61,2956) = 180316


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 644/61, 140/2956

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 644/61, 140/2956?

Answer: GCF of Numerators as per given numbers 644/61, 140/2956 is

GCF of Numerators i.e. for 644,140 is 28

LCM of denominators i.e. for 61,2956 is 180316.

Thus, GCF of Fractions is 28/180316.Finally, GCF of Fractions for 644/61, 140/2956 is 28/180316.