Greatest Common Factor of 297/97, 1812/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 297/97, 1812/985

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 297/97,1812/985

Given fractions are 297/97,1812/985

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 297,1812

Greatest Common Factor of Numerators i.e. GCF of 297,1812 is 3 .

LCM of Denominators means LCM of 97,985 as per the given fractions.

LCM of 97,985 is 95545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,1812

GCF of Fractions 297/97,1812/985 is 3/95545

3 297, 1812
99, 604

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

Greatest Common Factor of 297,1812 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,1812 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 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1,2,3,4,6,12,151,302,453,604,906,1812

Greatest Common Factor

We found the factors 297,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 297,1812 is 3.

Lets's calculate LCM of 97,985

Given numbers has no common factors except 1. So, there LCM is their product i.e 95545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/95545

Therefore, the GCF of Fractions 297/97,1812/985 is 3/95545

Least Common Multiple of 97,985 with GCF Formula

Least Common Multiple of 97,985 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 97,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,985) = 1

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

GCF(97,985) x common factors =1 x 1 = 1

LCM(97,985) = ( 97 × 985 ) / 1

LCM(97,985) = 95545 / 1

LCM(97,985) = 95545


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 297/97, 1812/985

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 297/97, 1812/985?

Answer: GCF of Numerators as per given numbers 297/97, 1812/985 is

GCF of Numerators i.e. for 297,1812 is 3

LCM of denominators i.e. for 97,985 is 95545.

Thus, GCF of Fractions is 3/95545.Finally, GCF of Fractions for 297/97, 1812/985 is 3/95545.