Greatest Common Factor of 24/138, 3176/8358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/138, 3176/8358

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 24/138,3176/8358

Given fractions are 24/138,3176/8358

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 24,3176

Greatest Common Factor of Numerators i.e. GCF of 24,3176 is 8 .

LCM of Denominators means LCM of 138,8358 as per the given fractions.

LCM of 138,8358 is 192234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,3176

GCF of Fractions 24/138,3176/8358 is 8/192234

2 24, 3176
2 12, 1588
2 6, 794
3, 397

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 24,3176 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,3176 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 3176

List of positive integer factors of 3176 that divides 3176 without a remainder.

1,2,4,8,397,794,1588,3176

Greatest Common Factor

We found the factors 24,3176 . The biggest common factor number is the GCF number.
So the greatest common factor 24,3176 is 8.

Lets's calculate LCM of 138,8358

2 138, 8358
3 69, 4179
23, 1393

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1393 = 192234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/192234

Therefore, the GCF of Fractions 24/138,3176/8358 is 8/192234

Least Common Multiple of 138,8358 with GCF Formula

Least Common Multiple of 138,8358 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 138,8358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,8358) = 6

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

GCF(138,8358) x common factors =6 x 1 = 6

LCM(138,8358) = ( 138 × 8358 ) / 6

LCM(138,8358) = 1153404 / 6

LCM(138,8358) = 192234


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 24/138, 3176/8358

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 24/138, 3176/8358?

Answer: GCF of Numerators as per given numbers 24/138, 3176/8358 is

GCF of Numerators i.e. for 24,3176 is 8

LCM of denominators i.e. for 138,8358 is 192234.

Thus, GCF of Fractions is 8/192234.Finally, GCF of Fractions for 24/138, 3176/8358 is 8/192234.