Greatest Common Factor of 7514/742, 6533/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7514/742, 6533/972

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 7514/742,6533/972

Given fractions are 7514/742,6533/972

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 7514,6533

Greatest Common Factor of Numerators i.e. GCF of 7514,6533 is 1 .

LCM of Denominators means LCM of 742,972 as per the given fractions.

LCM of 742,972 is 360612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7514,6533

GCF of Fractions 7514/742,6533/972 is 1/360612

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

Greatest Common Factor of 7514,6533 By Matching Biggest Common Factor Method

Greatest Common Factor of 7514,6533 By Matching Biggest Common Factor Method

Factors of 7514

List of positive integer factors of 7514 that divides 7514 without a remainder.

1,2,13,17,26,34,221,289,442,578,3757,7514

Factors of 6533

List of positive integer factors of 6533 that divides 6533 without a remainder.

1,47,139,6533

Greatest Common Factor

We found the factors 7514,6533 . The biggest common factor number is the GCF number.
So the greatest common factor 7514,6533 is 1.

Lets's calculate LCM of 742,972

2 742, 972
371, 486

∴ So the LCM of the given numbers is 2 x 371 x 486 = 360612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/360612

Therefore, the GCF of Fractions 7514/742,6533/972 is 1/360612

Least Common Multiple of 742,972 with GCF Formula

Least Common Multiple of 742,972 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 742,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,972) = 2

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

GCF(742,972) x common factors =2 x 1 = 2

LCM(742,972) = ( 742 × 972 ) / 2

LCM(742,972) = 721224 / 2

LCM(742,972) = 360612


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 7514/742, 6533/972

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 7514/742, 6533/972?

Answer: GCF of Numerators as per given numbers 7514/742, 6533/972 is

GCF of Numerators i.e. for 7514,6533 is 1

LCM of denominators i.e. for 742,972 is 360612.

Thus, GCF of Fractions is 1/360612.Finally, GCF of Fractions for 7514/742, 6533/972 is 1/360612.