Greatest Common Factor of 297/18, 313/97, 529/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 297/18, 313/97, 529/400

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 297/18,313/97,529/400

Given fractions are 297/18,313/97,529/400

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 297,313,529

Greatest Common Factor of Numerators i.e. GCF of 297,313,529 is 1 .

LCM of Denominators means LCM of 18,97,400 as per the given fractions.

LCM of 18,97,400 is 349200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,313,529

GCF of Fractions 297/18,313/97,529/400 is 1/349200

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

Greatest Common Factor of 297,313,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,313,529 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 297,313,529 . The biggest common factor number is the GCF number.
So the greatest common factor 297,313,529 is 1.

Lets's calculate LCM of 18,97,400

2 18, 97, 400
9, 97, 200

∴ So the LCM of the given numbers is 2 x 9 x 97 x 200 = 349200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349200

Therefore, the GCF of Fractions 297/18,313/97,529/400 is 1/349200

Least Common Multiple of 18,97,400 with GCF Formula

Least Common Multiple of 18,97,400 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 18,97,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,97,400) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,97,400) x common factors =1 x 2 = 2

LCM(18,97,400) = ( 18 × 97 × 400 ) / 2

LCM(18,97,400) = 698400 / 2

LCM(18,97,400) = 349200


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 297/18, 313/97, 529/400

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 297/18, 313/97, 529/400?

Answer: GCF of Numerators as per given numbers 297/18, 313/97, 529/400 is

GCF of Numerators i.e. for 297,313,529 is 1

LCM of denominators i.e. for 18,97,400 is 349200.

Thus, GCF of Fractions is 1/349200.Finally, GCF of Fractions for 297/18, 313/97, 529/400 is 1/349200.