Greatest Common Factor of 539/69, 487/47, 322/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 539/69, 487/47, 322/328

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 539/69,487/47,322/328

Given fractions are 539/69,487/47,322/328

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 539,487,322

Greatest Common Factor of Numerators i.e. GCF of 539,487,322 is 1 .

LCM of Denominators means LCM of 69,47,328 as per the given fractions.

LCM of 69,47,328 is 1063704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 539,487,322

GCF of Fractions 539/69,487/47,322/328 is 1/1063704

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

Greatest Common Factor of 539,487,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,487,322 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 539,487,322 . The biggest common factor number is the GCF number.
So the greatest common factor 539,487,322 is 1.

Lets's calculate LCM of 69,47,328

Given numbers has no common factors except 1. So, there LCM is their product i.e 1063704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1063704

Therefore, the GCF of Fractions 539/69,487/47,322/328 is 1/1063704

Least Common Multiple of 69,47,328 with GCF Formula

Least Common Multiple of 69,47,328 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 69,47,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,47,328) = 1

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

GCF(69,47,328) x common factors =1 x 1 = 1

LCM(69,47,328) = ( 69 × 47 × 328 ) / 1

LCM(69,47,328) = 1063704 / 1

LCM(69,47,328) = 1063704


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 539/69, 487/47, 322/328

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 539/69, 487/47, 322/328?

Answer: GCF of Numerators as per given numbers 539/69, 487/47, 322/328 is

GCF of Numerators i.e. for 539,487,322 is 1

LCM of denominators i.e. for 69,47,328 is 1063704.

Thus, GCF of Fractions is 1/1063704.Finally, GCF of Fractions for 539/69, 487/47, 322/328 is 1/1063704.