Greatest Common Factor of 154/13, 644/20, 653/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 154/13, 644/20, 653/50

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 154/13,644/20,653/50

Given fractions are 154/13,644/20,653/50

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 154,644,653

Greatest Common Factor of Numerators i.e. GCF of 154,644,653 is 1 .

LCM of Denominators means LCM of 13,20,50 as per the given fractions.

LCM of 13,20,50 is 1300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 154,644,653

GCF of Fractions 154/13,644/20,653/50 is 1/1300

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

Greatest Common Factor of 154,644,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,644,653 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

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 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 154,644,653 . The biggest common factor number is the GCF number.
So the greatest common factor 154,644,653 is 1.

Lets's calculate LCM of 13,20,50

2 13, 20, 50
5 13, 10, 25
13, 2, 5

∴ So the LCM of the given numbers is 2 x 5 x 13 x 2 x 5 = 1300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1300

Therefore, the GCF of Fractions 154/13,644/20,653/50 is 1/1300

Least Common Multiple of 13,20,50 with GCF Formula

Least Common Multiple of 13,20,50 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 13,20,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,20,50) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(13,20,50) x common factors =1 x 10 = 10

LCM(13,20,50) = ( 13 × 20 × 50 ) / 10

LCM(13,20,50) = 13000 / 10

LCM(13,20,50) = 1300


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 154/13, 644/20, 653/50

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 154/13, 644/20, 653/50?

Answer: GCF of Numerators as per given numbers 154/13, 644/20, 653/50 is

GCF of Numerators i.e. for 154,644,653 is 1

LCM of denominators i.e. for 13,20,50 is 1300.

Thus, GCF of Fractions is 1/1300.Finally, GCF of Fractions for 154/13, 644/20, 653/50 is 1/1300.