Greatest Common Factor of 7416/742, 4031/7812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7416/742, 4031/7812

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 7416/742,4031/7812

Given fractions are 7416/742,4031/7812

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 7416,4031

Greatest Common Factor of Numerators i.e. GCF of 7416,4031 is 1 .

LCM of Denominators means LCM of 742,7812 as per the given fractions.

LCM of 742,7812 is 414036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7416,4031

GCF of Fractions 7416/742,4031/7812 is 1/414036

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

Greatest Common Factor of 7416,4031 By Matching Biggest Common Factor Method

Greatest Common Factor of 7416,4031 By Matching Biggest Common Factor Method

Factors of 7416

List of positive integer factors of 7416 that divides 7416 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416

Factors of 4031

List of positive integer factors of 4031 that divides 4031 without a remainder.

1,29,139,4031

Greatest Common Factor

We found the factors 7416,4031 . The biggest common factor number is the GCF number.
So the greatest common factor 7416,4031 is 1.

Lets's calculate LCM of 742,7812

2 742, 7812
7 371, 3906
53, 558

∴ So the LCM of the given numbers is 2 x 7 x 53 x 558 = 414036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414036

Therefore, the GCF of Fractions 7416/742,4031/7812 is 1/414036

Least Common Multiple of 742,7812 with GCF Formula

Least Common Multiple of 742,7812 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 742,7812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,7812) = 14

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

GCF(742,7812) x common factors =14 x 1 = 14

LCM(742,7812) = ( 742 × 7812 ) / 14

LCM(742,7812) = 5796504 / 14

LCM(742,7812) = 414036


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 7416/742, 4031/7812

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 7416/742, 4031/7812?

Answer: GCF of Numerators as per given numbers 7416/742, 4031/7812 is

GCF of Numerators i.e. for 7416,4031 is 1

LCM of denominators i.e. for 742,7812 is 414036.

Thus, GCF of Fractions is 1/414036.Finally, GCF of Fractions for 7416/742, 4031/7812 is 1/414036.