Greatest Common Factor of 8002/76, 5091/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8002/76, 5091/477

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 8002/76,5091/477

Given fractions are 8002/76,5091/477

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 8002,5091

Greatest Common Factor of Numerators i.e. GCF of 8002,5091 is 1 .

LCM of Denominators means LCM of 76,477 as per the given fractions.

LCM of 76,477 is 36252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8002,5091

GCF of Fractions 8002/76,5091/477 is 1/36252

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

Greatest Common Factor of 8002,5091 By Matching Biggest Common Factor Method

Greatest Common Factor of 8002,5091 By Matching Biggest Common Factor Method

Factors of 8002

List of positive integer factors of 8002 that divides 8002 without a remainder.

1,2,4001,8002

Factors of 5091

List of positive integer factors of 5091 that divides 5091 without a remainder.

1,3,1697,5091

Greatest Common Factor

We found the factors 8002,5091 . The biggest common factor number is the GCF number.
So the greatest common factor 8002,5091 is 1.

Lets's calculate LCM of 76,477

Given numbers has no common factors except 1. So, there LCM is their product i.e 36252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36252

Therefore, the GCF of Fractions 8002/76,5091/477 is 1/36252

Least Common Multiple of 76,477 with GCF Formula

Least Common Multiple of 76,477 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 76,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,477) = 1

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

GCF(76,477) x common factors =1 x 1 = 1

LCM(76,477) = ( 76 × 477 ) / 1

LCM(76,477) = 36252 / 1

LCM(76,477) = 36252


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 8002/76, 5091/477

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 8002/76, 5091/477?

Answer: GCF of Numerators as per given numbers 8002/76, 5091/477 is

GCF of Numerators i.e. for 8002,5091 is 1

LCM of denominators i.e. for 76,477 is 36252.

Thus, GCF of Fractions is 1/36252.Finally, GCF of Fractions for 8002/76, 5091/477 is 1/36252.