Greatest Common Factor of 36/58, 52/69, 463/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/58, 52/69, 463/441

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 36/58,52/69,463/441

Given fractions are 36/58,52/69,463/441

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 36,52,463

Greatest Common Factor of Numerators i.e. GCF of 36,52,463 is 1 .

LCM of Denominators means LCM of 58,69,441 as per the given fractions.

LCM of 58,69,441 is 588294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,52,463

GCF of Fractions 36/58,52/69,463/441 is 1/588294

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 36,52,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,52,463 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 36,52,463 . The biggest common factor number is the GCF number.
So the greatest common factor 36,52,463 is 1.

Lets's calculate LCM of 58,69,441

3 58, 69, 441
58, 23, 147

∴ So the LCM of the given numbers is 3 x 58 x 23 x 147 = 588294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/588294

Therefore, the GCF of Fractions 36/58,52/69,463/441 is 1/588294

Least Common Multiple of 58,69,441 with GCF Formula

Least Common Multiple of 58,69,441 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 58,69,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,69,441) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(58,69,441) x common factors =1 x 3 = 3

LCM(58,69,441) = ( 58 × 69 × 441 ) / 3

LCM(58,69,441) = 1764882 / 3

LCM(58,69,441) = 588294


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 36/58, 52/69, 463/441

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 36/58, 52/69, 463/441?

Answer: GCF of Numerators as per given numbers 36/58, 52/69, 463/441 is

GCF of Numerators i.e. for 36,52,463 is 1

LCM of denominators i.e. for 58,69,441 is 588294.

Thus, GCF of Fractions is 1/588294.Finally, GCF of Fractions for 36/58, 52/69, 463/441 is 1/588294.