Greatest Common Factor of 97/314, 336/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/314, 336/524

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 97/314,336/524

Given fractions are 97/314,336/524

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 97,336

Greatest Common Factor of Numerators i.e. GCF of 97,336 is 1 .

LCM of Denominators means LCM of 314,524 as per the given fractions.

LCM of 314,524 is 82268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,336

GCF of Fractions 97/314,336/524 is 1/82268

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

Greatest Common Factor of 97,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,336 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 97,336 . The biggest common factor number is the GCF number.
So the greatest common factor 97,336 is 1.

Lets's calculate LCM of 314,524

2 314, 524
157, 262

∴ So the LCM of the given numbers is 2 x 157 x 262 = 82268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82268

Therefore, the GCF of Fractions 97/314,336/524 is 1/82268

Least Common Multiple of 314,524 with GCF Formula

Least Common Multiple of 314,524 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 314,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,524) = 2

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

GCF(314,524) x common factors =2 x 1 = 2

LCM(314,524) = ( 314 × 524 ) / 2

LCM(314,524) = 164536 / 2

LCM(314,524) = 82268


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 97/314, 336/524

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 97/314, 336/524?

Answer: GCF of Numerators as per given numbers 97/314, 336/524 is

GCF of Numerators i.e. for 97,336 is 1

LCM of denominators i.e. for 314,524 is 82268.

Thus, GCF of Fractions is 1/82268.Finally, GCF of Fractions for 97/314, 336/524 is 1/82268.