Greatest Common Factor of 297/537, 1146/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 297/537, 1146/848

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 297/537,1146/848

Given fractions are 297/537,1146/848

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 297,1146

Greatest Common Factor of Numerators i.e. GCF of 297,1146 is 3 .

LCM of Denominators means LCM of 537,848 as per the given fractions.

LCM of 537,848 is 455376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,1146

GCF of Fractions 297/537,1146/848 is 3/455376

3 297, 1146
99, 382

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

Greatest Common Factor of 297,1146 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,1146 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 1146

List of positive integer factors of 1146 that divides 1146 without a remainder.

1,2,3,6,191,382,573,1146

Greatest Common Factor

We found the factors 297,1146 . The biggest common factor number is the GCF number.
So the greatest common factor 297,1146 is 3.

Lets's calculate LCM of 537,848

Given numbers has no common factors except 1. So, there LCM is their product i.e 455376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/455376

Therefore, the GCF of Fractions 297/537,1146/848 is 3/455376

Least Common Multiple of 537,848 with GCF Formula

Least Common Multiple of 537,848 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 537,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,848) = 1

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

GCF(537,848) x common factors =1 x 1 = 1

LCM(537,848) = ( 537 × 848 ) / 1

LCM(537,848) = 455376 / 1

LCM(537,848) = 455376


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 297/537, 1146/848

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 297/537, 1146/848?

Answer: GCF of Numerators as per given numbers 297/537, 1146/848 is

GCF of Numerators i.e. for 297,1146 is 3

LCM of denominators i.e. for 537,848 is 455376.

Thus, GCF of Fractions is 3/455376.Finally, GCF of Fractions for 297/537, 1146/848 is 3/455376.