Greatest Common Factor of 86/50, 20/21, 424/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 86/50, 20/21, 424/109

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 86/50,20/21,424/109

Given fractions are 86/50,20/21,424/109

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 86,20,424

Greatest Common Factor of Numerators i.e. GCF of 86,20,424 is 2 .

LCM of Denominators means LCM of 50,21,109 as per the given fractions.

LCM of 50,21,109 is 114450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,20,424

GCF of Fractions 86/50,20/21,424/109 is 2/114450

2 86, 20, 424
43, 10, 212

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

Greatest Common Factor of 86,20,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,20,424 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 86,20,424 . The biggest common factor number is the GCF number.
So the greatest common factor 86,20,424 is 2.


Lets's calculate LCM of 50,21,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 114450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114450

Therefore, the GCF of Fractions 86/50,20/21,424/109 is 2/114450

Least Common Multiple of 50,21,109 with GCF Formula

Least Common Multiple of 50,21,109 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 50,21,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,21,109) = 1

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

GCF(50,21,109) x common factors =1 x 1 = 1

LCM(50,21,109) = ( 50 × 21 × 109 ) / 1

LCM(50,21,109) = 114450 / 1

LCM(50,21,109) = 114450


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 86/50, 20/21, 424/109

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 86/50, 20/21, 424/109?

Answer: GCF of Numerators as per given numbers 86/50, 20/21, 424/109 is

GCF of Numerators i.e. for 86,20,424 is 2

LCM of denominators i.e. for 50,21,109 is 114450.

Thus, GCF of Fractions is 2/114450.Finally, GCF of Fractions for 86/50, 20/21, 424/109 is 2/114450.