Greatest Common Factor of 2451/338, 1281/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2451/338, 1281/997

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 2451/338,1281/997

Given fractions are 2451/338,1281/997

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 2451,1281

Greatest Common Factor of Numerators i.e. GCF of 2451,1281 is 3 .

LCM of Denominators means LCM of 338,997 as per the given fractions.

LCM of 338,997 is 336986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2451,1281

GCF of Fractions 2451/338,1281/997 is 3/336986

3 2451, 1281
817, 427

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

Greatest Common Factor of 2451,1281 By Matching Biggest Common Factor Method

Greatest Common Factor of 2451,1281 By Matching Biggest Common Factor Method

Factors of 2451

List of positive integer factors of 2451 that divides 2451 without a remainder.

1,3,19,43,57,129,817,2451

Factors of 1281

List of positive integer factors of 1281 that divides 1281 without a remainder.

1,3,7,21,61,183,427,1281

Greatest Common Factor

We found the factors 2451,1281 . The biggest common factor number is the GCF number.
So the greatest common factor 2451,1281 is 3.

Lets's calculate LCM of 338,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 336986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/336986

Therefore, the GCF of Fractions 2451/338,1281/997 is 3/336986

Least Common Multiple of 338,997 with GCF Formula

Least Common Multiple of 338,997 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 338,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,997) = 1

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

GCF(338,997) x common factors =1 x 1 = 1

LCM(338,997) = ( 338 × 997 ) / 1

LCM(338,997) = 336986 / 1

LCM(338,997) = 336986


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 2451/338, 1281/997

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 2451/338, 1281/997?

Answer: GCF of Numerators as per given numbers 2451/338, 1281/997 is

GCF of Numerators i.e. for 2451,1281 is 3

LCM of denominators i.e. for 338,997 is 336986.

Thus, GCF of Fractions is 3/336986.Finally, GCF of Fractions for 2451/338, 1281/997 is 3/336986.