Greatest Common Factor of 3/81, 10/66, 51/536, 745/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/81, 10/66, 51/536, 745/123

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 3/81,10/66,51/536,745/123

Given fractions are 3/81,10/66,51/536,745/123

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 3,10,51,745

Greatest Common Factor of Numerators i.e. GCF of 3,10,51,745 is 1 .

LCM of Denominators means LCM of 81,66,536,123 as per the given fractions.

LCM of 81,66,536,123 is 19580616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,10,51,745

GCF of Fractions 3/81,10/66,51/536,745/123 is 1/19580616

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

Greatest Common Factor of 3,10,51,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,10,51,745 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 3,10,51,745 . The biggest common factor number is the GCF number.
So the greatest common factor 3,10,51,745 is 1.

Lets's calculate LCM of 81,66,536,123

2 81, 66, 536, 123
3 81, 33, 268, 123
27, 11, 268, 41

∴ So the LCM of the given numbers is 2 x 3 x 27 x 11 x 268 x 41 = 19580616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19580616

Therefore, the GCF of Fractions 3/81,10/66,51/536,745/123 is 1/19580616

Least Common Multiple of 81,66,536,123 with GCF Formula

Least Common Multiple of 81,66,536,123 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 81,66,536,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,66,536,123) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(81,66,536,123) x common factors =1 x 18 = 18

LCM(81,66,536,123) = ( 81 × 66 × 536 × 123 ) / 18

LCM(81,66,536,123) = 352451088 / 18

LCM(81,66,536,123) = 19580616


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 3/81, 10/66, 51/536, 745/123

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 3/81, 10/66, 51/536, 745/123?

Answer: GCF of Numerators as per given numbers 3/81, 10/66, 51/536, 745/123 is

GCF of Numerators i.e. for 3,10,51,745 is 1

LCM of denominators i.e. for 81,66,536,123 is 19580616.

Thus, GCF of Fractions is 1/19580616.Finally, GCF of Fractions for 3/81, 10/66, 51/536, 745/123 is 1/19580616.