Greatest Common Factor of 7682/91, 6629/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7682/91, 6629/580

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 7682/91,6629/580

Given fractions are 7682/91,6629/580

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 7682,6629

Greatest Common Factor of Numerators i.e. GCF of 7682,6629 is 1 .

LCM of Denominators means LCM of 91,580 as per the given fractions.

LCM of 91,580 is 52780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7682,6629

GCF of Fractions 7682/91,6629/580 is 1/52780

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

Greatest Common Factor of 7682,6629 By Matching Biggest Common Factor Method

Greatest Common Factor of 7682,6629 By Matching Biggest Common Factor Method

Factors of 7682

List of positive integer factors of 7682 that divides 7682 without a remainder.

1,2,23,46,167,334,3841,7682

Factors of 6629

List of positive integer factors of 6629 that divides 6629 without a remainder.

1,7,947,6629

Greatest Common Factor

We found the factors 7682,6629 . The biggest common factor number is the GCF number.
So the greatest common factor 7682,6629 is 1.

Lets's calculate LCM of 91,580

Given numbers has no common factors except 1. So, there LCM is their product i.e 52780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52780

Therefore, the GCF of Fractions 7682/91,6629/580 is 1/52780

Least Common Multiple of 91,580 with GCF Formula

Least Common Multiple of 91,580 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 91,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,580) = 1

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

GCF(91,580) x common factors =1 x 1 = 1

LCM(91,580) = ( 91 × 580 ) / 1

LCM(91,580) = 52780 / 1

LCM(91,580) = 52780


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 7682/91, 6629/580

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 7682/91, 6629/580?

Answer: GCF of Numerators as per given numbers 7682/91, 6629/580 is

GCF of Numerators i.e. for 7682,6629 is 1

LCM of denominators i.e. for 91,580 is 52780.

Thus, GCF of Fractions is 1/52780.Finally, GCF of Fractions for 7682/91, 6629/580 is 1/52780.