Greatest Common Factor of 27/76, 66/54, 631/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/76, 66/54, 631/559

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 27/76,66/54,631/559

Given fractions are 27/76,66/54,631/559

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 27,66,631

Greatest Common Factor of Numerators i.e. GCF of 27,66,631 is 1 .

LCM of Denominators means LCM of 76,54,559 as per the given fractions.

LCM of 76,54,559 is 1147068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,66,631

GCF of Fractions 27/76,66/54,631/559 is 1/1147068

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

Greatest Common Factor of 27,66,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,66,631 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 27,66,631 . The biggest common factor number is the GCF number.
So the greatest common factor 27,66,631 is 1.

Lets's calculate LCM of 76,54,559

2 76, 54, 559
38, 27, 559

∴ So the LCM of the given numbers is 2 x 38 x 27 x 559 = 1147068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1147068

Therefore, the GCF of Fractions 27/76,66/54,631/559 is 1/1147068

Least Common Multiple of 76,54,559 with GCF Formula

Least Common Multiple of 76,54,559 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 76,54,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,54,559) = 1

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

GCF(76,54,559) x common factors =1 x 2 = 2

LCM(76,54,559) = ( 76 × 54 × 559 ) / 2

LCM(76,54,559) = 2294136 / 2

LCM(76,54,559) = 1147068


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 27/76, 66/54, 631/559

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 27/76, 66/54, 631/559?

Answer: GCF of Numerators as per given numbers 27/76, 66/54, 631/559 is

GCF of Numerators i.e. for 27,66,631 is 1

LCM of denominators i.e. for 76,54,559 is 1147068.

Thus, GCF of Fractions is 1/1147068.Finally, GCF of Fractions for 27/76, 66/54, 631/559 is 1/1147068.