Greatest Common Factor of 297/754, 8019/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 297/754, 8019/735

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 297/754,8019/735

Given fractions are 297/754,8019/735

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 297,8019

Greatest Common Factor of Numerators i.e. GCF of 297,8019 is 297 .

LCM of Denominators means LCM of 754,735 as per the given fractions.

LCM of 754,735 is 554190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,8019

GCF of Fractions 297/754,8019/735 is 297/554190

3 297, 8019
3 99, 2673
3 33, 891
11 11, 297
1, 27

∴ So the GCF of the given numbers is 3 x 3 x 3 x 11 = 297

Greatest Common Factor of 297,8019 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,8019 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 8019

List of positive integer factors of 8019 that divides 8019 without a remainder.

1,3,9,11,27,33,81,99,243,297,729,891,2673,8019

Greatest Common Factor

We found the factors 297,8019 . The biggest common factor number is the GCF number.
So the greatest common factor 297,8019 is 297.

Lets's calculate LCM of 754,735

Given numbers has no common factors except 1. So, there LCM is their product i.e 554190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 297/554190

Therefore, the GCF of Fractions 297/754,8019/735 is 297/554190

Least Common Multiple of 754,735 with GCF Formula

Least Common Multiple of 754,735 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 754,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,735) = 1

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

GCF(754,735) x common factors =1 x 1 = 1

LCM(754,735) = ( 754 × 735 ) / 1

LCM(754,735) = 554190 / 1

LCM(754,735) = 554190


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 297/754, 8019/735

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 297/754, 8019/735?

Answer: GCF of Numerators as per given numbers 297/754, 8019/735 is

GCF of Numerators i.e. for 297,8019 is 297

LCM of denominators i.e. for 754,735 is 554190.

Thus, GCF of Fractions is 297/554190.Finally, GCF of Fractions for 297/754, 8019/735 is 297/554190.