Greatest Common Factor of 182/24, 856/7641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/24, 856/7641

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 182/24,856/7641

Given fractions are 182/24,856/7641

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 182,856

Greatest Common Factor of Numerators i.e. GCF of 182,856 is 2 .

LCM of Denominators means LCM of 24,7641 as per the given fractions.

LCM of 24,7641 is 61128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,856

GCF of Fractions 182/24,856/7641 is 2/61128

2 182, 856
91, 428

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

Greatest Common Factor of 182,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,856 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 182,856 . The biggest common factor number is the GCF number.
So the greatest common factor 182,856 is 2.

Lets's calculate LCM of 24,7641

3 24, 7641
8, 2547

∴ So the LCM of the given numbers is 3 x 8 x 2547 = 61128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61128

Therefore, the GCF of Fractions 182/24,856/7641 is 2/61128

Least Common Multiple of 24,7641 with GCF Formula

Least Common Multiple of 24,7641 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 24,7641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,7641) = 3

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

GCF(24,7641) x common factors =3 x 1 = 3

LCM(24,7641) = ( 24 × 7641 ) / 3

LCM(24,7641) = 183384 / 3

LCM(24,7641) = 61128


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 182/24, 856/7641

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 182/24, 856/7641?

Answer: GCF of Numerators as per given numbers 182/24, 856/7641 is

GCF of Numerators i.e. for 182,856 is 2

LCM of denominators i.e. for 24,7641 is 61128.

Thus, GCF of Fractions is 2/61128.Finally, GCF of Fractions for 182/24, 856/7641 is 2/61128.