Greatest Common Factor of 66/936, 507/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/936, 507/392

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 66/936,507/392

Given fractions are 66/936,507/392

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 66,507

Greatest Common Factor of Numerators i.e. GCF of 66,507 is 3 .

LCM of Denominators means LCM of 936,392 as per the given fractions.

LCM of 936,392 is 45864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,507

GCF of Fractions 66/936,507/392 is 3/45864

3 66, 507
22, 169

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

Greatest Common Factor of 66,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,507 By Matching Biggest Common Factor Method

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 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 66,507 . The biggest common factor number is the GCF number.
So the greatest common factor 66,507 is 3.

Lets's calculate LCM of 936,392

2 936, 392
2 468, 196
2 234, 98
117, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 117 x 49 = 45864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45864

Therefore, the GCF of Fractions 66/936,507/392 is 3/45864

Least Common Multiple of 936,392 with GCF Formula

Least Common Multiple of 936,392 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 936,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,392) = 8

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

GCF(936,392) x common factors =8 x 1 = 8

LCM(936,392) = ( 936 × 392 ) / 8

LCM(936,392) = 366912 / 8

LCM(936,392) = 45864


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 66/936, 507/392

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 66/936, 507/392?

Answer: GCF of Numerators as per given numbers 66/936, 507/392 is

GCF of Numerators i.e. for 66,507 is 3

LCM of denominators i.e. for 936,392 is 45864.

Thus, GCF of Fractions is 3/45864.Finally, GCF of Fractions for 66/936, 507/392 is 3/45864.