Greatest Common Factor of 539/20, 415/66, 314/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 539/20, 415/66, 314/503

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 539/20,415/66,314/503

Given fractions are 539/20,415/66,314/503

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 539,415,314

Greatest Common Factor of Numerators i.e. GCF of 539,415,314 is 1 .

LCM of Denominators means LCM of 20,66,503 as per the given fractions.

LCM of 20,66,503 is 331980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 539,415,314

GCF of Fractions 539/20,415/66,314/503 is 1/331980

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

Greatest Common Factor of 539,415,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,415,314 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 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 539,415,314 . The biggest common factor number is the GCF number.
So the greatest common factor 539,415,314 is 1.

Lets's calculate LCM of 20,66,503

2 20, 66, 503
10, 33, 503

∴ So the LCM of the given numbers is 2 x 10 x 33 x 503 = 331980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331980

Therefore, the GCF of Fractions 539/20,415/66,314/503 is 1/331980

Least Common Multiple of 20,66,503 with GCF Formula

Least Common Multiple of 20,66,503 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 20,66,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,66,503) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,66,503) x common factors =1 x 2 = 2

LCM(20,66,503) = ( 20 × 66 × 503 ) / 2

LCM(20,66,503) = 663960 / 2

LCM(20,66,503) = 331980


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 539/20, 415/66, 314/503

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, 415/66, 314/503?

Answer: GCF of Numerators as per given numbers 539/20, 415/66, 314/503 is

GCF of Numerators i.e. for 539,415,314 is 1

LCM of denominators i.e. for 20,66,503 is 331980.

Thus, GCF of Fractions is 1/331980.Finally, GCF of Fractions for 539/20, 415/66, 314/503 is 1/331980.