Greatest Common Factor of 538/20, 164/31, 210/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 538/20, 164/31, 210/389

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 538/20,164/31,210/389

Given fractions are 538/20,164/31,210/389

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 538,164,210

Greatest Common Factor of Numerators i.e. GCF of 538,164,210 is 2 .

LCM of Denominators means LCM of 20,31,389 as per the given fractions.

LCM of 20,31,389 is 241180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 538,164,210

GCF of Fractions 538/20,164/31,210/389 is 2/241180

2 538, 164, 210
269, 82, 105

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 538,164,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,164,210 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 538,164,210 . The biggest common factor number is the GCF number.
So the greatest common factor 538,164,210 is 2.

Lets's calculate LCM of 20,31,389

Given numbers has no common factors except 1. So, there LCM is their product i.e 241180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/241180

Therefore, the GCF of Fractions 538/20,164/31,210/389 is 2/241180

Least Common Multiple of 20,31,389 with GCF Formula

Least Common Multiple of 20,31,389 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 20,31,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,31,389) = 1

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

GCF(20,31,389) x common factors =1 x 1 = 1

LCM(20,31,389) = ( 20 × 31 × 389 ) / 1

LCM(20,31,389) = 241180 / 1

LCM(20,31,389) = 241180


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 538/20, 164/31, 210/389

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 538/20, 164/31, 210/389?

Answer: GCF of Numerators as per given numbers 538/20, 164/31, 210/389 is

GCF of Numerators i.e. for 538,164,210 is 2

LCM of denominators i.e. for 20,31,389 is 241180.

Thus, GCF of Fractions is 2/241180.Finally, GCF of Fractions for 538/20, 164/31, 210/389 is 2/241180.