Greatest Common Factor of 7522/54, 3122/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7522/54, 3122/733

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 7522/54,3122/733

Given fractions are 7522/54,3122/733

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 7522,3122

Greatest Common Factor of Numerators i.e. GCF of 7522,3122 is 2 .

LCM of Denominators means LCM of 54,733 as per the given fractions.

LCM of 54,733 is 39582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7522,3122

GCF of Fractions 7522/54,3122/733 is 2/39582

2 7522, 3122
3761, 1561

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7522,3122 By Matching Biggest Common Factor Method

Greatest Common Factor of 7522,3122 By Matching Biggest Common Factor Method

Factors of 7522

List of positive integer factors of 7522 that divides 7522 without a remainder.

1,2,3761,7522

Factors of 3122

List of positive integer factors of 3122 that divides 3122 without a remainder.

1,2,7,14,223,446,1561,3122

Greatest Common Factor

We found the factors 7522,3122 . The biggest common factor number is the GCF number.
So the greatest common factor 7522,3122 is 2.

Lets's calculate LCM of 54,733

Given numbers has no common factors except 1. So, there LCM is their product i.e 39582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39582

Therefore, the GCF of Fractions 7522/54,3122/733 is 2/39582

Least Common Multiple of 54,733 with GCF Formula

Least Common Multiple of 54,733 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 54,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,733) = 1

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

GCF(54,733) x common factors =1 x 1 = 1

LCM(54,733) = ( 54 × 733 ) / 1

LCM(54,733) = 39582 / 1

LCM(54,733) = 39582


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 7522/54, 3122/733

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 7522/54, 3122/733?

Answer: GCF of Numerators as per given numbers 7522/54, 3122/733 is

GCF of Numerators i.e. for 7522,3122 is 2

LCM of denominators i.e. for 54,733 is 39582.

Thus, GCF of Fractions is 2/39582.Finally, GCF of Fractions for 7522/54, 3122/733 is 2/39582.