Greatest Common Factor of 768/278, 153/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 768/278, 153/928

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 768/278,153/928

Given fractions are 768/278,153/928

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 768,153

Greatest Common Factor of Numerators i.e. GCF of 768,153 is 3 .

LCM of Denominators means LCM of 278,928 as per the given fractions.

LCM of 278,928 is 128992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 768,153

GCF of Fractions 768/278,153/928 is 3/128992

3 768, 153
256, 51

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 768,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,153 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 768,153 . The biggest common factor number is the GCF number.
So the greatest common factor 768,153 is 3.

Lets's calculate LCM of 278,928

2 278, 928
139, 464

∴ So the LCM of the given numbers is 2 x 139 x 464 = 128992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/128992

Therefore, the GCF of Fractions 768/278,153/928 is 3/128992

Least Common Multiple of 278,928 with GCF Formula

Least Common Multiple of 278,928 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 278,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,928) = 2

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

GCF(278,928) x common factors =2 x 1 = 2

LCM(278,928) = ( 278 × 928 ) / 2

LCM(278,928) = 257984 / 2

LCM(278,928) = 128992


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 768/278, 153/928

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 768/278, 153/928?

Answer: GCF of Numerators as per given numbers 768/278, 153/928 is

GCF of Numerators i.e. for 768,153 is 3

LCM of denominators i.e. for 278,928 is 128992.

Thus, GCF of Fractions is 3/128992.Finally, GCF of Fractions for 768/278, 153/928 is 3/128992.