Greatest Common Factor of 9503/220, 6722/7725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9503/220, 6722/7725

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 9503/220,6722/7725

Given fractions are 9503/220,6722/7725

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 9503,6722

Greatest Common Factor of Numerators i.e. GCF of 9503,6722 is 1 .

LCM of Denominators means LCM of 220,7725 as per the given fractions.

LCM of 220,7725 is 339900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9503,6722

GCF of Fractions 9503/220,6722/7725 is 1/339900

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

Greatest Common Factor of 9503,6722 By Matching Biggest Common Factor Method

Greatest Common Factor of 9503,6722 By Matching Biggest Common Factor Method

Factors of 9503

List of positive integer factors of 9503 that divides 9503 without a remainder.

1,13,17,43,221,559,731,9503

Factors of 6722

List of positive integer factors of 6722 that divides 6722 without a remainder.

1,2,3361,6722

Greatest Common Factor

We found the factors 9503,6722 . The biggest common factor number is the GCF number.
So the greatest common factor 9503,6722 is 1.

Lets's calculate LCM of 220,7725

5 220, 7725
44, 1545

∴ So the LCM of the given numbers is 5 x 44 x 1545 = 339900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339900

Therefore, the GCF of Fractions 9503/220,6722/7725 is 1/339900

Least Common Multiple of 220,7725 with GCF Formula

Least Common Multiple of 220,7725 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 220,7725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,7725) = 5

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

GCF(220,7725) x common factors =5 x 1 = 5

LCM(220,7725) = ( 220 × 7725 ) / 5

LCM(220,7725) = 1699500 / 5

LCM(220,7725) = 339900


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 9503/220, 6722/7725

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 9503/220, 6722/7725?

Answer: GCF of Numerators as per given numbers 9503/220, 6722/7725 is

GCF of Numerators i.e. for 9503,6722 is 1

LCM of denominators i.e. for 220,7725 is 339900.

Thus, GCF of Fractions is 1/339900.Finally, GCF of Fractions for 9503/220, 6722/7725 is 1/339900.