Greatest Common Factor of 297/87, 495/90, 192/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 297/87, 495/90, 192/709

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 297/87,495/90,192/709

Given fractions are 297/87,495/90,192/709

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 297,495,192

Greatest Common Factor of Numerators i.e. GCF of 297,495,192 is 3 .

LCM of Denominators means LCM of 87,90,709 as per the given fractions.

LCM of 87,90,709 is 1850490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,495,192

GCF of Fractions 297/87,495/90,192/709 is 3/1850490

3 297, 495, 192
99, 165, 64

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 297,495,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,495,192 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 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 297,495,192 . The biggest common factor number is the GCF number.
So the greatest common factor 297,495,192 is 3.

Lets's calculate LCM of 87,90,709

3 87, 90, 709
29, 30, 709

∴ So the LCM of the given numbers is 3 x 29 x 30 x 709 = 1850490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1850490

Therefore, the GCF of Fractions 297/87,495/90,192/709 is 3/1850490

Least Common Multiple of 87,90,709 with GCF Formula

Least Common Multiple of 87,90,709 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 87,90,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,90,709) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,90,709) x common factors =1 x 3 = 3

LCM(87,90,709) = ( 87 × 90 × 709 ) / 3

LCM(87,90,709) = 5551470 / 3

LCM(87,90,709) = 1850490


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 297/87, 495/90, 192/709

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 297/87, 495/90, 192/709?

Answer: GCF of Numerators as per given numbers 297/87, 495/90, 192/709 is

GCF of Numerators i.e. for 297,495,192 is 3

LCM of denominators i.e. for 87,90,709 is 1850490.

Thus, GCF of Fractions is 3/1850490.Finally, GCF of Fractions for 297/87, 495/90, 192/709 is 3/1850490.