Greatest Common Factor of 120/73, 375/72, 352/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 120/73, 375/72, 352/512

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 120/73,375/72,352/512

Given fractions are 120/73,375/72,352/512

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 120,375,352

Greatest Common Factor of Numerators i.e. GCF of 120,375,352 is 1 .

LCM of Denominators means LCM of 73,72,512 as per the given fractions.

LCM of 73,72,512 is 336384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 120,375,352

GCF of Fractions 120/73,375/72,352/512 is 1/336384

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

Greatest Common Factor of 120,375,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,375,352 By Matching Biggest Common Factor Method

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

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 120,375,352 . The biggest common factor number is the GCF number.
So the greatest common factor 120,375,352 is 1.

Lets's calculate LCM of 73,72,512

2 73, 72, 512
2 73, 36, 256
2 73, 18, 128
73, 9, 64

∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 9 x 64 = 336384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336384

Therefore, the GCF of Fractions 120/73,375/72,352/512 is 1/336384

Least Common Multiple of 73,72,512 with GCF Formula

Least Common Multiple of 73,72,512 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 73,72,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,72,512) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(73,72,512) x common factors =1 x 8 = 8

LCM(73,72,512) = ( 73 × 72 × 512 ) / 8

LCM(73,72,512) = 2691072 / 8

LCM(73,72,512) = 336384


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 120/73, 375/72, 352/512

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 120/73, 375/72, 352/512?

Answer: GCF of Numerators as per given numbers 120/73, 375/72, 352/512 is

GCF of Numerators i.e. for 120,375,352 is 1

LCM of denominators i.e. for 73,72,512 is 336384.

Thus, GCF of Fractions is 1/336384.Finally, GCF of Fractions for 120/73, 375/72, 352/512 is 1/336384.