Greatest Common Factor of 392/76, 2160/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 392/76, 2160/758

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 392/76,2160/758

Given fractions are 392/76,2160/758

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 392,2160

Greatest Common Factor of Numerators i.e. GCF of 392,2160 is 8 .

LCM of Denominators means LCM of 76,758 as per the given fractions.

LCM of 76,758 is 28804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 392,2160

GCF of Fractions 392/76,2160/758 is 8/28804

2 392, 2160
2 196, 1080
2 98, 540
49, 270

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

Greatest Common Factor of 392,2160 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,2160 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 2160

List of positive integer factors of 2160 that divides 2160 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160

Greatest Common Factor

We found the factors 392,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 392,2160 is 8.

Lets's calculate LCM of 76,758

2 76, 758
38, 379

∴ So the LCM of the given numbers is 2 x 38 x 379 = 28804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/28804

Therefore, the GCF of Fractions 392/76,2160/758 is 8/28804

Least Common Multiple of 76,758 with GCF Formula

Least Common Multiple of 76,758 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 76,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,758) = 2

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

GCF(76,758) x common factors =2 x 1 = 2

LCM(76,758) = ( 76 × 758 ) / 2

LCM(76,758) = 57608 / 2

LCM(76,758) = 28804


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 392/76, 2160/758

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 392/76, 2160/758?

Answer: GCF of Numerators as per given numbers 392/76, 2160/758 is

GCF of Numerators i.e. for 392,2160 is 8

LCM of denominators i.e. for 76,758 is 28804.

Thus, GCF of Fractions is 8/28804.Finally, GCF of Fractions for 392/76, 2160/758 is 8/28804.