Greatest Common Factor of 21/103, 56/144, 550/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/103, 56/144, 550/725

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 21/103,56/144,550/725

Given fractions are 21/103,56/144,550/725

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 21,56,550

Greatest Common Factor of Numerators i.e. GCF of 21,56,550 is 1 .

LCM of Denominators means LCM of 103,144,725 as per the given fractions.

LCM of 103,144,725 is 10753200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,56,550

GCF of Fractions 21/103,56/144,550/725 is 1/10753200

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

Greatest Common Factor of 21,56,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,56,550 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 21,56,550 . The biggest common factor number is the GCF number.
So the greatest common factor 21,56,550 is 1.

Lets's calculate LCM of 103,144,725

Given numbers has no common factors except 1. So, there LCM is their product i.e 10753200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10753200

Therefore, the GCF of Fractions 21/103,56/144,550/725 is 1/10753200

Least Common Multiple of 103,144,725 with GCF Formula

Least Common Multiple of 103,144,725 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 103,144,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,144,725) = 1

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

GCF(103,144,725) x common factors =1 x 1 = 1

LCM(103,144,725) = ( 103 × 144 × 725 ) / 1

LCM(103,144,725) = 10753200 / 1

LCM(103,144,725) = 10753200


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 21/103, 56/144, 550/725

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 21/103, 56/144, 550/725?

Answer: GCF of Numerators as per given numbers 21/103, 56/144, 550/725 is

GCF of Numerators i.e. for 21,56,550 is 1

LCM of denominators i.e. for 103,144,725 is 10753200.

Thus, GCF of Fractions is 1/10753200.Finally, GCF of Fractions for 21/103, 56/144, 550/725 is 1/10753200.