Greatest Common Factor of 382/732, 144/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 382/732, 144/529

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 382/732,144/529

Given fractions are 382/732,144/529

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 382,144

Greatest Common Factor of Numerators i.e. GCF of 382,144 is 2 .

LCM of Denominators means LCM of 732,529 as per the given fractions.

LCM of 732,529 is 387228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 382,144

GCF of Fractions 382/732,144/529 is 2/387228

2 382, 144
191, 72

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 382,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,144 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 382,144 . The biggest common factor number is the GCF number.
So the greatest common factor 382,144 is 2.

Lets's calculate LCM of 732,529

Given numbers has no common factors except 1. So, there LCM is their product i.e 387228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/387228

Therefore, the GCF of Fractions 382/732,144/529 is 2/387228

Least Common Multiple of 732,529 with GCF Formula

Least Common Multiple of 732,529 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 732,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,529) = 1

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

GCF(732,529) x common factors =1 x 1 = 1

LCM(732,529) = ( 732 × 529 ) / 1

LCM(732,529) = 387228 / 1

LCM(732,529) = 387228


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 382/732, 144/529

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 382/732, 144/529?

Answer: GCF of Numerators as per given numbers 382/732, 144/529 is

GCF of Numerators i.e. for 382,144 is 2

LCM of denominators i.e. for 732,529 is 387228.

Thus, GCF of Fractions is 2/387228.Finally, GCF of Fractions for 382/732, 144/529 is 2/387228.