Greatest Common Factor of 592/94, 159/67, 375/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 592/94, 159/67, 375/48

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 592/94,159/67,375/48

Given fractions are 592/94,159/67,375/48

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 592,159,375

Greatest Common Factor of Numerators i.e. GCF of 592,159,375 is 1 .

LCM of Denominators means LCM of 94,67,48 as per the given fractions.

LCM of 94,67,48 is 151152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 592,159,375

GCF of Fractions 592/94,159/67,375/48 is 1/151152

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

Greatest Common Factor of 592,159,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,159,375 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 375

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

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

Greatest Common Factor

We found the factors 592,159,375 . The biggest common factor number is the GCF number.
So the greatest common factor 592,159,375 is 1.

Lets's calculate LCM of 94,67,48

2 94, 67, 48
47, 67, 24

∴ So the LCM of the given numbers is 2 x 47 x 67 x 24 = 151152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151152

Therefore, the GCF of Fractions 592/94,159/67,375/48 is 1/151152

Least Common Multiple of 94,67,48 with GCF Formula

Least Common Multiple of 94,67,48 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 94,67,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,67,48) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,67,48) x common factors =1 x 2 = 2

LCM(94,67,48) = ( 94 × 67 × 48 ) / 2

LCM(94,67,48) = 302304 / 2

LCM(94,67,48) = 151152


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 592/94, 159/67, 375/48

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 592/94, 159/67, 375/48?

Answer: GCF of Numerators as per given numbers 592/94, 159/67, 375/48 is

GCF of Numerators i.e. for 592,159,375 is 1

LCM of denominators i.e. for 94,67,48 is 151152.

Thus, GCF of Fractions is 1/151152.Finally, GCF of Fractions for 592/94, 159/67, 375/48 is 1/151152.