Greatest Common Factor of 179/408, 278/542, 768/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 179/408, 278/542, 768/997

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 179/408,278/542,768/997

Given fractions are 179/408,278/542,768/997

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 179,278,768

Greatest Common Factor of Numerators i.e. GCF of 179,278,768 is 1 .

LCM of Denominators means LCM of 408,542,997 as per the given fractions.

LCM of 408,542,997 is 110236296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 179,278,768

GCF of Fractions 179/408,278/542,768/997 is 1/110236296

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

Greatest Common Factor of 179,278,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,278,768 By Matching Biggest Common Factor Method

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

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

Greatest Common Factor

We found the factors 179,278,768 . The biggest common factor number is the GCF number.
So the greatest common factor 179,278,768 is 1.

Lets's calculate LCM of 408,542,997

2 408, 542, 997
204, 271, 997

∴ So the LCM of the given numbers is 2 x 204 x 271 x 997 = 110236296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110236296

Therefore, the GCF of Fractions 179/408,278/542,768/997 is 1/110236296

Least Common Multiple of 408,542,997 with GCF Formula

Least Common Multiple of 408,542,997 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 408,542,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,542,997) = 1

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

GCF(408,542,997) x common factors =1 x 2 = 2

LCM(408,542,997) = ( 408 × 542 × 997 ) / 2

LCM(408,542,997) = 220472592 / 2

LCM(408,542,997) = 110236296


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 179/408, 278/542, 768/997

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 179/408, 278/542, 768/997?

Answer: GCF of Numerators as per given numbers 179/408, 278/542, 768/997 is

GCF of Numerators i.e. for 179,278,768 is 1

LCM of denominators i.e. for 408,542,997 is 110236296.

Thus, GCF of Fractions is 1/110236296.Finally, GCF of Fractions for 179/408, 278/542, 768/997 is 1/110236296.