Greatest Common Factor of 75/466, 118/704, 120/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/466, 118/704, 120/748

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 75/466,118/704,120/748

Given fractions are 75/466,118/704,120/748

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 75,118,120

Greatest Common Factor of Numerators i.e. GCF of 75,118,120 is 1 .

LCM of Denominators means LCM of 466,704,748 as per the given fractions.

LCM of 466,704,748 is 2788544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,118,120

GCF of Fractions 75/466,118/704,120/748 is 1/2788544

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

Greatest Common Factor of 75,118,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,118,120 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 75,118,120 . The biggest common factor number is the GCF number.
So the greatest common factor 75,118,120 is 1.

Lets's calculate LCM of 466,704,748

2 466, 704, 748
2 233, 352, 374
11 233, 176, 187
233, 16, 17

∴ So the LCM of the given numbers is 2 x 2 x 11 x 233 x 16 x 17 = 2788544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2788544

Therefore, the GCF of Fractions 75/466,118/704,120/748 is 1/2788544

Least Common Multiple of 466,704,748 with GCF Formula

Least Common Multiple of 466,704,748 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 466,704,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,704,748) = 2

common factors(in case of two or more numbers have common factors) = 44

GCF(466,704,748) x common factors =2 x 44 = 88

LCM(466,704,748) = ( 466 × 704 × 748 ) / 88

LCM(466,704,748) = 245391872 / 88

LCM(466,704,748) = 2788544


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 75/466, 118/704, 120/748

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 75/466, 118/704, 120/748?

Answer: GCF of Numerators as per given numbers 75/466, 118/704, 120/748 is

GCF of Numerators i.e. for 75,118,120 is 1

LCM of denominators i.e. for 466,704,748 is 2788544.

Thus, GCF of Fractions is 1/2788544.Finally, GCF of Fractions for 75/466, 118/704, 120/748 is 1/2788544.