Greatest Common Factor of 2426/24, 5256/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2426/24, 5256/149

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 2426/24,5256/149

Given fractions are 2426/24,5256/149

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 2426,5256

Greatest Common Factor of Numerators i.e. GCF of 2426,5256 is 2 .

LCM of Denominators means LCM of 24,149 as per the given fractions.

LCM of 24,149 is 3576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2426,5256

GCF of Fractions 2426/24,5256/149 is 2/3576

2 2426, 5256
1213, 2628

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2426,5256 By Matching Biggest Common Factor Method

Greatest Common Factor of 2426,5256 By Matching Biggest Common Factor Method

Factors of 2426

List of positive integer factors of 2426 that divides 2426 without a remainder.

1,2,1213,2426

Factors of 5256

List of positive integer factors of 5256 that divides 5256 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256

Greatest Common Factor

We found the factors 2426,5256 . The biggest common factor number is the GCF number.
So the greatest common factor 2426,5256 is 2.

Lets's calculate LCM of 24,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 3576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3576

Therefore, the GCF of Fractions 2426/24,5256/149 is 2/3576

Least Common Multiple of 24,149 with GCF Formula

Least Common Multiple of 24,149 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 24,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,149) = 1

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

GCF(24,149) x common factors =1 x 1 = 1

LCM(24,149) = ( 24 × 149 ) / 1

LCM(24,149) = 3576 / 1

LCM(24,149) = 3576


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 2426/24, 5256/149

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 2426/24, 5256/149?

Answer: GCF of Numerators as per given numbers 2426/24, 5256/149 is

GCF of Numerators i.e. for 2426,5256 is 2

LCM of denominators i.e. for 24,149 is 3576.

Thus, GCF of Fractions is 2/3576.Finally, GCF of Fractions for 2426/24, 5256/149 is 2/3576.