Greatest Common Factor of 179/78, 327/97, 387/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 179/78, 327/97, 387/606

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 179/78,327/97,387/606

Given fractions are 179/78,327/97,387/606

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 179,327,387

Greatest Common Factor of Numerators i.e. GCF of 179,327,387 is 1 .

LCM of Denominators means LCM of 78,97,606 as per the given fractions.

LCM of 78,97,606 is 764166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 179,327,387

GCF of Fractions 179/78,327/97,387/606 is 1/764166

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

Greatest Common Factor of 179,327,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,327,387 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 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 179,327,387 . The biggest common factor number is the GCF number.
So the greatest common factor 179,327,387 is 1.

Lets's calculate LCM of 78,97,606

2 78, 97, 606
3 39, 97, 303
13, 97, 101

∴ So the LCM of the given numbers is 2 x 3 x 13 x 97 x 101 = 764166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/764166

Therefore, the GCF of Fractions 179/78,327/97,387/606 is 1/764166

Least Common Multiple of 78,97,606 with GCF Formula

Least Common Multiple of 78,97,606 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 78,97,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,97,606) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,97,606) x common factors =1 x 6 = 6

LCM(78,97,606) = ( 78 × 97 × 606 ) / 6

LCM(78,97,606) = 4584996 / 6

LCM(78,97,606) = 764166


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 179/78, 327/97, 387/606

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 179/78, 327/97, 387/606?

Answer: GCF of Numerators as per given numbers 179/78, 327/97, 387/606 is

GCF of Numerators i.e. for 179,327,387 is 1

LCM of denominators i.e. for 78,97,606 is 764166.

Thus, GCF of Fractions is 1/764166.Finally, GCF of Fractions for 179/78, 327/97, 387/606 is 1/764166.