Greatest Common Factor of 3933/262, 7431/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3933/262, 7431/176

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 3933/262,7431/176

Given fractions are 3933/262,7431/176

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 3933,7431

Greatest Common Factor of Numerators i.e. GCF of 3933,7431 is 3 .

LCM of Denominators means LCM of 262,176 as per the given fractions.

LCM of 262,176 is 23056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3933,7431

GCF of Fractions 3933/262,7431/176 is 3/23056

3 3933, 7431
1311, 2477

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

Greatest Common Factor of 3933,7431 By Matching Biggest Common Factor Method

Greatest Common Factor of 3933,7431 By Matching Biggest Common Factor Method

Factors of 3933

List of positive integer factors of 3933 that divides 3933 without a remainder.

1,3,9,19,23,57,69,171,207,437,1311,3933

Factors of 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1,3,2477,7431

Greatest Common Factor

We found the factors 3933,7431 . The biggest common factor number is the GCF number.
So the greatest common factor 3933,7431 is 3.

Lets's calculate LCM of 262,176

2 262, 176
131, 88

∴ So the LCM of the given numbers is 2 x 131 x 88 = 23056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/23056

Therefore, the GCF of Fractions 3933/262,7431/176 is 3/23056

Least Common Multiple of 262,176 with GCF Formula

Least Common Multiple of 262,176 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 262,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,176) = 2

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

GCF(262,176) x common factors =2 x 1 = 2

LCM(262,176) = ( 262 × 176 ) / 2

LCM(262,176) = 46112 / 2

LCM(262,176) = 23056


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 3933/262, 7431/176

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 3933/262, 7431/176?

Answer: GCF of Numerators as per given numbers 3933/262, 7431/176 is

GCF of Numerators i.e. for 3933,7431 is 3

LCM of denominators i.e. for 262,176 is 23056.

Thus, GCF of Fractions is 3/23056.Finally, GCF of Fractions for 3933/262, 7431/176 is 3/23056.