Greatest Common Factor of 7642/370, 6793/1582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7642/370, 6793/1582

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 7642/370,6793/1582

Given fractions are 7642/370,6793/1582

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 7642,6793

Greatest Common Factor of Numerators i.e. GCF of 7642,6793 is 1 .

LCM of Denominators means LCM of 370,1582 as per the given fractions.

LCM of 370,1582 is 292670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7642,6793

GCF of Fractions 7642/370,6793/1582 is 1/292670

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

Greatest Common Factor of 7642,6793 By Matching Biggest Common Factor Method

Greatest Common Factor of 7642,6793 By Matching Biggest Common Factor Method

Factors of 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1,2,3821,7642

Factors of 6793

List of positive integer factors of 6793 that divides 6793 without a remainder.

1,6793

Greatest Common Factor

We found the factors 7642,6793 . The biggest common factor number is the GCF number.
So the greatest common factor 7642,6793 is 1.

Lets's calculate LCM of 370,1582

2 370, 1582
185, 791

∴ So the LCM of the given numbers is 2 x 185 x 791 = 292670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292670

Therefore, the GCF of Fractions 7642/370,6793/1582 is 1/292670

Least Common Multiple of 370,1582 with GCF Formula

Least Common Multiple of 370,1582 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 370,1582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,1582) = 2

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

GCF(370,1582) x common factors =2 x 1 = 2

LCM(370,1582) = ( 370 × 1582 ) / 2

LCM(370,1582) = 585340 / 2

LCM(370,1582) = 292670


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 7642/370, 6793/1582

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 7642/370, 6793/1582?

Answer: GCF of Numerators as per given numbers 7642/370, 6793/1582 is

GCF of Numerators i.e. for 7642,6793 is 1

LCM of denominators i.e. for 370,1582 is 292670.

Thus, GCF of Fractions is 1/292670.Finally, GCF of Fractions for 7642/370, 6793/1582 is 1/292670.