Greatest Common Factor of 497/27, 747/61, 403/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 497/27, 747/61, 403/96

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 497/27,747/61,403/96

Given fractions are 497/27,747/61,403/96

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 497,747,403

Greatest Common Factor of Numerators i.e. GCF of 497,747,403 is 1 .

LCM of Denominators means LCM of 27,61,96 as per the given fractions.

LCM of 27,61,96 is 52704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 497,747,403

GCF of Fractions 497/27,747/61,403/96 is 1/52704

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

Greatest Common Factor of 497,747,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,747,403 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 497,747,403 . The biggest common factor number is the GCF number.
So the greatest common factor 497,747,403 is 1.


Lets's calculate LCM of 27,61,96

3 27, 61, 96
9, 61, 32

∴ So the LCM of the given numbers is 3 x 9 x 61 x 32 = 52704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52704

Therefore, the GCF of Fractions 497/27,747/61,403/96 is 1/52704

Least Common Multiple of 27,61,96 with GCF Formula

Least Common Multiple of 27,61,96 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 27,61,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,61,96) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,61,96) x common factors =1 x 3 = 3

LCM(27,61,96) = ( 27 × 61 × 96 ) / 3

LCM(27,61,96) = 158112 / 3

LCM(27,61,96) = 52704


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 497/27, 747/61, 403/96

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 497/27, 747/61, 403/96?

Answer: GCF of Numerators as per given numbers 497/27, 747/61, 403/96 is

GCF of Numerators i.e. for 497,747,403 is 1

LCM of denominators i.e. for 27,61,96 is 52704.

Thus, GCF of Fractions is 1/52704.Finally, GCF of Fractions for 497/27, 747/61, 403/96 is 1/52704.