Greatest Common Factor of 731/66, 4472/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 731/66, 4472/379

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 731/66,4472/379

Given fractions are 731/66,4472/379

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 731,4472

Greatest Common Factor of Numerators i.e. GCF of 731,4472 is 43 .

LCM of Denominators means LCM of 66,379 as per the given fractions.

LCM of 66,379 is 25014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 731,4472

GCF of Fractions 731/66,4472/379 is 43/25014

43 731, 4472
17, 104

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 731,4472 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,4472 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 4472

List of positive integer factors of 4472 that divides 4472 without a remainder.

1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472

Greatest Common Factor

We found the factors 731,4472 . The biggest common factor number is the GCF number.
So the greatest common factor 731,4472 is 43.

Lets's calculate LCM of 66,379

Given numbers has no common factors except 1. So, there LCM is their product i.e 25014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/25014

Therefore, the GCF of Fractions 731/66,4472/379 is 43/25014

Least Common Multiple of 66,379 with GCF Formula

Least Common Multiple of 66,379 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 66,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,379) = 1

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

GCF(66,379) x common factors =1 x 1 = 1

LCM(66,379) = ( 66 × 379 ) / 1

LCM(66,379) = 25014 / 1

LCM(66,379) = 25014


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 731/66, 4472/379

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 731/66, 4472/379?

Answer: GCF of Numerators as per given numbers 731/66, 4472/379 is

GCF of Numerators i.e. for 731,4472 is 43

LCM of denominators i.e. for 66,379 is 25014.

Thus, GCF of Fractions is 43/25014.Finally, GCF of Fractions for 731/66, 4472/379 is 43/25014.