Greatest Common Factor of 1257/24, 3258/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1257/24, 3258/612

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 1257/24,3258/612

Given fractions are 1257/24,3258/612

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 1257,3258

Greatest Common Factor of Numerators i.e. GCF of 1257,3258 is 3 .

LCM of Denominators means LCM of 24,612 as per the given fractions.

LCM of 24,612 is 1224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1257,3258

GCF of Fractions 1257/24,3258/612 is 3/1224

3 1257, 3258
419, 1086

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

Greatest Common Factor of 1257,3258 By Matching Biggest Common Factor Method

Greatest Common Factor of 1257,3258 By Matching Biggest Common Factor Method

Factors of 1257

List of positive integer factors of 1257 that divides 1257 without a remainder.

1,3,419,1257

Factors of 3258

List of positive integer factors of 3258 that divides 3258 without a remainder.

1,2,3,6,9,18,181,362,543,1086,1629,3258

Greatest Common Factor

We found the factors 1257,3258 . The biggest common factor number is the GCF number.
So the greatest common factor 1257,3258 is 3.

Lets's calculate LCM of 24,612

2 24, 612
2 12, 306
3 6, 153
2, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 51 = 1224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1224

Therefore, the GCF of Fractions 1257/24,3258/612 is 3/1224

Least Common Multiple of 24,612 with GCF Formula

Least Common Multiple of 24,612 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 24,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,612) = 12

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

GCF(24,612) x common factors =12 x 1 = 12

LCM(24,612) = ( 24 × 612 ) / 12

LCM(24,612) = 14688 / 12

LCM(24,612) = 1224


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 1257/24, 3258/612

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 1257/24, 3258/612?

Answer: GCF of Numerators as per given numbers 1257/24, 3258/612 is

GCF of Numerators i.e. for 1257,3258 is 3

LCM of denominators i.e. for 24,612 is 1224.

Thus, GCF of Fractions is 3/1224.Finally, GCF of Fractions for 1257/24, 3258/612 is 3/1224.