Greatest Common Factor of 17/21, 54/12, 306/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/21, 54/12, 306/761

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 17/21,54/12,306/761

Given fractions are 17/21,54/12,306/761

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 17,54,306

Greatest Common Factor of Numerators i.e. GCF of 17,54,306 is 1 .

LCM of Denominators means LCM of 21,12,761 as per the given fractions.

LCM of 21,12,761 is 63924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,54,306

GCF of Fractions 17/21,54/12,306/761 is 1/63924

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

Greatest Common Factor of 17,54,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,54,306 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 17,54,306 . The biggest common factor number is the GCF number.
So the greatest common factor 17,54,306 is 1.

Lets's calculate LCM of 21,12,761

3 21, 12, 761
7, 4, 761

∴ So the LCM of the given numbers is 3 x 7 x 4 x 761 = 63924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63924

Therefore, the GCF of Fractions 17/21,54/12,306/761 is 1/63924

Least Common Multiple of 21,12,761 with GCF Formula

Least Common Multiple of 21,12,761 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 21,12,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,12,761) = 1

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

GCF(21,12,761) x common factors =1 x 3 = 3

LCM(21,12,761) = ( 21 × 12 × 761 ) / 3

LCM(21,12,761) = 191772 / 3

LCM(21,12,761) = 63924


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 17/21, 54/12, 306/761

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 17/21, 54/12, 306/761?

Answer: GCF of Numerators as per given numbers 17/21, 54/12, 306/761 is

GCF of Numerators i.e. for 17,54,306 is 1

LCM of denominators i.e. for 21,12,761 is 63924.

Thus, GCF of Fractions is 1/63924.Finally, GCF of Fractions for 17/21, 54/12, 306/761 is 1/63924.