Greatest Common Factor of 477/827, 453/672, 339/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 477/827, 453/672, 339/449

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 477/827,453/672,339/449

Given fractions are 477/827,453/672,339/449

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 477,453,339

Greatest Common Factor of Numerators i.e. GCF of 477,453,339 is 3 .

LCM of Denominators means LCM of 827,672,449 as per the given fractions.

LCM of 827,672,449 is 249529056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 477,453,339

GCF of Fractions 477/827,453/672,339/449 is 3/249529056

3 477, 453, 339
159, 151, 113

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

Greatest Common Factor of 477,453,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,453,339 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 477,453,339 . The biggest common factor number is the GCF number.
So the greatest common factor 477,453,339 is 3.

Lets's calculate LCM of 827,672,449

Given numbers has no common factors except 1. So, there LCM is their product i.e 249529056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/249529056

Therefore, the GCF of Fractions 477/827,453/672,339/449 is 3/249529056

Least Common Multiple of 827,672,449 with GCF Formula

Least Common Multiple of 827,672,449 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 827,672,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,672,449) = 1

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

GCF(827,672,449) x common factors =1 x 1 = 1

LCM(827,672,449) = ( 827 × 672 × 449 ) / 1

LCM(827,672,449) = 249529056 / 1

LCM(827,672,449) = 249529056


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 477/827, 453/672, 339/449

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 477/827, 453/672, 339/449?

Answer: GCF of Numerators as per given numbers 477/827, 453/672, 339/449 is

GCF of Numerators i.e. for 477,453,339 is 3

LCM of denominators i.e. for 827,672,449 is 249529056.

Thus, GCF of Fractions is 3/249529056.Finally, GCF of Fractions for 477/827, 453/672, 339/449 is 3/249529056.