Greatest Common Factor of 8275/473, 5377/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8275/473, 5377/456

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 8275/473,5377/456

Given fractions are 8275/473,5377/456

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 8275,5377

Greatest Common Factor of Numerators i.e. GCF of 8275,5377 is 1 .

LCM of Denominators means LCM of 473,456 as per the given fractions.

LCM of 473,456 is 215688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8275,5377

GCF of Fractions 8275/473,5377/456 is 1/215688

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

Greatest Common Factor of 8275,5377 By Matching Biggest Common Factor Method

Greatest Common Factor of 8275,5377 By Matching Biggest Common Factor Method

Factors of 8275

List of positive integer factors of 8275 that divides 8275 without a remainder.

1,5,25,331,1655,8275

Factors of 5377

List of positive integer factors of 5377 that divides 5377 without a remainder.

1,19,283,5377

Greatest Common Factor

We found the factors 8275,5377 . The biggest common factor number is the GCF number.
So the greatest common factor 8275,5377 is 1.

Lets's calculate LCM of 473,456

Given numbers has no common factors except 1. So, there LCM is their product i.e 215688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215688

Therefore, the GCF of Fractions 8275/473,5377/456 is 1/215688

Least Common Multiple of 473,456 with GCF Formula

Least Common Multiple of 473,456 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 473,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,456) = 1

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

GCF(473,456) x common factors =1 x 1 = 1

LCM(473,456) = ( 473 × 456 ) / 1

LCM(473,456) = 215688 / 1

LCM(473,456) = 215688


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 8275/473, 5377/456

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 8275/473, 5377/456?

Answer: GCF of Numerators as per given numbers 8275/473, 5377/456 is

GCF of Numerators i.e. for 8275,5377 is 1

LCM of denominators i.e. for 473,456 is 215688.

Thus, GCF of Fractions is 1/215688.Finally, GCF of Fractions for 8275/473, 5377/456 is 1/215688.