Greatest Common Factor of 539/20, 294/3527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 539/20, 294/3527

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 539/20,294/3527

Given fractions are 539/20,294/3527

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 539,294

Greatest Common Factor of Numerators i.e. GCF of 539,294 is 49 .

LCM of Denominators means LCM of 20,3527 as per the given fractions.

LCM of 20,3527 is 70540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 539,294

GCF of Fractions 539/20,294/3527 is 49/70540

7 539, 294
7 77, 42
11, 6

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 539,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,294 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 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 539,294 . The biggest common factor number is the GCF number.
So the greatest common factor 539,294 is 49.

Lets's calculate LCM of 20,3527

Given numbers has no common factors except 1. So, there LCM is their product i.e 70540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/70540

Therefore, the GCF of Fractions 539/20,294/3527 is 49/70540

Least Common Multiple of 20,3527 with GCF Formula

Least Common Multiple of 20,3527 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 20,3527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,3527) = 1

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

GCF(20,3527) x common factors =1 x 1 = 1

LCM(20,3527) = ( 20 × 3527 ) / 1

LCM(20,3527) = 70540 / 1

LCM(20,3527) = 70540


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 539/20, 294/3527

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 539/20, 294/3527?

Answer: GCF of Numerators as per given numbers 539/20, 294/3527 is

GCF of Numerators i.e. for 539,294 is 49

LCM of denominators i.e. for 20,3527 is 70540.

Thus, GCF of Fractions is 49/70540.Finally, GCF of Fractions for 539/20, 294/3527 is 49/70540.