Greatest Common Factor of 1648/522, 7225/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1648/522, 7225/753

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 1648/522,7225/753

Given fractions are 1648/522,7225/753

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 1648,7225

Greatest Common Factor of Numerators i.e. GCF of 1648,7225 is 1 .

LCM of Denominators means LCM of 522,753 as per the given fractions.

LCM of 522,753 is 131022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1648,7225

GCF of Fractions 1648/522,7225/753 is 1/131022

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

Greatest Common Factor of 1648,7225 By Matching Biggest Common Factor Method

Greatest Common Factor of 1648,7225 By Matching Biggest Common Factor Method

Factors of 1648

List of positive integer factors of 1648 that divides 1648 without a remainder.

1,2,4,8,16,103,206,412,824,1648

Factors of 7225

List of positive integer factors of 7225 that divides 7225 without a remainder.

1,5,17,25,85,289,425,1445,7225

Greatest Common Factor

We found the factors 1648,7225 . The biggest common factor number is the GCF number.
So the greatest common factor 1648,7225 is 1.

Lets's calculate LCM of 522,753

3 522, 753
174, 251

∴ So the LCM of the given numbers is 3 x 174 x 251 = 131022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131022

Therefore, the GCF of Fractions 1648/522,7225/753 is 1/131022

Least Common Multiple of 522,753 with GCF Formula

Least Common Multiple of 522,753 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 522,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,753) = 3

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

GCF(522,753) x common factors =3 x 1 = 3

LCM(522,753) = ( 522 × 753 ) / 3

LCM(522,753) = 393066 / 3

LCM(522,753) = 131022


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 1648/522, 7225/753

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 1648/522, 7225/753?

Answer: GCF of Numerators as per given numbers 1648/522, 7225/753 is

GCF of Numerators i.e. for 1648,7225 is 1

LCM of denominators i.e. for 522,753 is 131022.

Thus, GCF of Fractions is 1/131022.Finally, GCF of Fractions for 1648/522, 7225/753 is 1/131022.