Greatest Common Factor of 747/42, 504/1866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 747/42, 504/1866

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 747/42,504/1866

Given fractions are 747/42,504/1866

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 747,504

Greatest Common Factor of Numerators i.e. GCF of 747,504 is 9 .

LCM of Denominators means LCM of 42,1866 as per the given fractions.

LCM of 42,1866 is 13062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 747,504

GCF of Fractions 747/42,504/1866 is 9/13062

3 747, 504
3 249, 168
83, 56

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 747,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,504 By Matching Biggest Common Factor Method

Factors of 747

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

1,3,9,83,249,747

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 747,504 . The biggest common factor number is the GCF number.
So the greatest common factor 747,504 is 9.

Lets's calculate LCM of 42,1866

2 42, 1866
3 21, 933
7, 311

∴ So the LCM of the given numbers is 2 x 3 x 7 x 311 = 13062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/13062

Therefore, the GCF of Fractions 747/42,504/1866 is 9/13062

Least Common Multiple of 42,1866 with GCF Formula

Least Common Multiple of 42,1866 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 42,1866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,1866) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(42,1866) x common factors =6 x 1 = 6

LCM(42,1866) = ( 42 × 1866 ) / 6

LCM(42,1866) = 78372 / 6

LCM(42,1866) = 13062


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 747/42, 504/1866

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 747/42, 504/1866?

Answer: GCF of Numerators as per given numbers 747/42, 504/1866 is

GCF of Numerators i.e. for 747,504 is 9

LCM of denominators i.e. for 42,1866 is 13062.

Thus, GCF of Fractions is 9/13062.Finally, GCF of Fractions for 747/42, 504/1866 is 9/13062.