Greatest Common Factor of 66/454, 9339/3177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/454, 9339/3177

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 66/454,9339/3177

Given fractions are 66/454,9339/3177

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 66,9339

Greatest Common Factor of Numerators i.e. GCF of 66,9339 is 33 .

LCM of Denominators means LCM of 454,3177 as per the given fractions.

LCM of 454,3177 is 1442358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,9339

GCF of Fractions 66/454,9339/3177 is 33/1442358

3 66, 9339
11 22, 3113
2, 283

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 66,9339 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,9339 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 9339

List of positive integer factors of 9339 that divides 9339 without a remainder.

1,3,11,33,283,849,3113,9339

Greatest Common Factor

We found the factors 66,9339 . The biggest common factor number is the GCF number.
So the greatest common factor 66,9339 is 33.

Lets's calculate LCM of 454,3177

Given numbers has no common factors except 1. So, there LCM is their product i.e 1442358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1442358

Therefore, the GCF of Fractions 66/454,9339/3177 is 33/1442358

Least Common Multiple of 454,3177 with GCF Formula

Least Common Multiple of 454,3177 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 454,3177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,3177) = 1

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

GCF(454,3177) x common factors =1 x 1 = 1

LCM(454,3177) = ( 454 × 3177 ) / 1

LCM(454,3177) = 1442358 / 1

LCM(454,3177) = 1442358


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 66/454, 9339/3177

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 66/454, 9339/3177?

Answer: GCF of Numerators as per given numbers 66/454, 9339/3177 is

GCF of Numerators i.e. for 66,9339 is 33

LCM of denominators i.e. for 454,3177 is 1442358.

Thus, GCF of Fractions is 33/1442358.Finally, GCF of Fractions for 66/454, 9339/3177 is 33/1442358.