Greatest Common Factor of 24/138, 448/180, 691/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/138, 448/180, 691/782

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 24/138,448/180,691/782

Given fractions are 24/138,448/180,691/782

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 24,448,691

Greatest Common Factor of Numerators i.e. GCF of 24,448,691 is 1 .

LCM of Denominators means LCM of 138,180,782 as per the given fractions.

LCM of 138,180,782 is 70380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,448,691

GCF of Fractions 24/138,448/180,691/782 is 1/70380

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 24,448,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,448,691 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 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 24,448,691 . The biggest common factor number is the GCF number.
So the greatest common factor 24,448,691 is 1.

Lets's calculate LCM of 138,180,782

2 138, 180, 782
3 69, 90, 391
23 23, 30, 391
1, 30, 17

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 30 x 17 = 70380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70380

Therefore, the GCF of Fractions 24/138,448/180,691/782 is 1/70380

Least Common Multiple of 138,180,782 with GCF Formula

Least Common Multiple of 138,180,782 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 138,180,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,180,782) = 2

common factors(in case of two or more numbers have common factors) = 138

GCF(138,180,782) x common factors =2 x 138 = 276

LCM(138,180,782) = ( 138 × 180 × 782 ) / 276

LCM(138,180,782) = 19424880 / 276

LCM(138,180,782) = 70380


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, 448/180, 691/782

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, 448/180, 691/782?

Answer: GCF of Numerators as per given numbers 24/138, 448/180, 691/782 is

GCF of Numerators i.e. for 24,448,691 is 1

LCM of denominators i.e. for 138,180,782 is 70380.

Thus, GCF of Fractions is 1/70380.Finally, GCF of Fractions for 24/138, 448/180, 691/782 is 1/70380.