Greatest Common Factor of 441/53, 364/57, 522/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 441/53, 364/57, 522/715

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 441/53,364/57,522/715

Given fractions are 441/53,364/57,522/715

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 441,364,522

Greatest Common Factor of Numerators i.e. GCF of 441,364,522 is 1 .

LCM of Denominators means LCM of 53,57,715 as per the given fractions.

LCM of 53,57,715 is 2160015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 441,364,522

GCF of Fractions 441/53,364/57,522/715 is 1/2160015

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

Greatest Common Factor of 441,364,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,364,522 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 441,364,522 . The biggest common factor number is the GCF number.
So the greatest common factor 441,364,522 is 1.

Lets's calculate LCM of 53,57,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 2160015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2160015

Therefore, the GCF of Fractions 441/53,364/57,522/715 is 1/2160015

Least Common Multiple of 53,57,715 with GCF Formula

Least Common Multiple of 53,57,715 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 53,57,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,57,715) = 1

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

GCF(53,57,715) x common factors =1 x 1 = 1

LCM(53,57,715) = ( 53 × 57 × 715 ) / 1

LCM(53,57,715) = 2160015 / 1

LCM(53,57,715) = 2160015


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 441/53, 364/57, 522/715

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 441/53, 364/57, 522/715?

Answer: GCF of Numerators as per given numbers 441/53, 364/57, 522/715 is

GCF of Numerators i.e. for 441,364,522 is 1

LCM of denominators i.e. for 53,57,715 is 2160015.

Thus, GCF of Fractions is 1/2160015.Finally, GCF of Fractions for 441/53, 364/57, 522/715 is 1/2160015.