Greatest Common Factor of 13/14, 512/83, 420/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/14, 512/83, 420/606

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 13/14,512/83,420/606

Given fractions are 13/14,512/83,420/606

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 13,512,420

Greatest Common Factor of Numerators i.e. GCF of 13,512,420 is 1 .

LCM of Denominators means LCM of 14,83,606 as per the given fractions.

LCM of 14,83,606 is 352086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,512,420

GCF of Fractions 13/14,512/83,420/606 is 1/352086

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

Greatest Common Factor of 13,512,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,512,420 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 13,512,420 . The biggest common factor number is the GCF number.
So the greatest common factor 13,512,420 is 1.

Lets's calculate LCM of 14,83,606

2 14, 83, 606
7, 83, 303

∴ So the LCM of the given numbers is 2 x 7 x 83 x 303 = 352086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352086

Therefore, the GCF of Fractions 13/14,512/83,420/606 is 1/352086

Least Common Multiple of 14,83,606 with GCF Formula

Least Common Multiple of 14,83,606 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 14,83,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,83,606) = 1

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

GCF(14,83,606) x common factors =1 x 2 = 2

LCM(14,83,606) = ( 14 × 83 × 606 ) / 2

LCM(14,83,606) = 704172 / 2

LCM(14,83,606) = 352086


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 13/14, 512/83, 420/606

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 13/14, 512/83, 420/606?

Answer: GCF of Numerators as per given numbers 13/14, 512/83, 420/606 is

GCF of Numerators i.e. for 13,512,420 is 1

LCM of denominators i.e. for 14,83,606 is 352086.

Thus, GCF of Fractions is 1/352086.Finally, GCF of Fractions for 13/14, 512/83, 420/606 is 1/352086.