Greatest Common Factor of 8456/97, 8758/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8456/97, 8758/284

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 8456/97,8758/284

Given fractions are 8456/97,8758/284

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 8456,8758

Greatest Common Factor of Numerators i.e. GCF of 8456,8758 is 302 .

LCM of Denominators means LCM of 97,284 as per the given fractions.

LCM of 97,284 is 27548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8456,8758

GCF of Fractions 8456/97,8758/284 is 302/27548

2 8456, 8758
151 4228, 4379
28, 29

∴ So the GCF of the given numbers is 2 x 151 = 302

Greatest Common Factor of 8456,8758 By Matching Biggest Common Factor Method

Greatest Common Factor of 8456,8758 By Matching Biggest Common Factor Method

Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456

Factors of 8758

List of positive integer factors of 8758 that divides 8758 without a remainder.

1,2,29,58,151,302,4379,8758

Greatest Common Factor

We found the factors 8456,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 8456,8758 is 302.

Lets's calculate LCM of 97,284

Given numbers has no common factors except 1. So, there LCM is their product i.e 27548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 302/27548

Therefore, the GCF of Fractions 8456/97,8758/284 is 302/27548

Least Common Multiple of 97,284 with GCF Formula

Least Common Multiple of 97,284 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 97,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,284) = 1

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

GCF(97,284) x common factors =1 x 1 = 1

LCM(97,284) = ( 97 × 284 ) / 1

LCM(97,284) = 27548 / 1

LCM(97,284) = 27548


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 8456/97, 8758/284

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 8456/97, 8758/284?

Answer: GCF of Numerators as per given numbers 8456/97, 8758/284 is

GCF of Numerators i.e. for 8456,8758 is 302

LCM of denominators i.e. for 97,284 is 27548.

Thus, GCF of Fractions is 302/27548.Finally, GCF of Fractions for 8456/97, 8758/284 is 302/27548.