Greatest Common Factor of 20/835, 626/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/835, 626/970

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 20/835,626/970

Given fractions are 20/835,626/970

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 20,626

Greatest Common Factor of Numerators i.e. GCF of 20,626 is 2 .

LCM of Denominators means LCM of 835,970 as per the given fractions.

LCM of 835,970 is 161990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,626

GCF of Fractions 20/835,626/970 is 2/161990

2 20, 626
10, 313

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

Greatest Common Factor of 20,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,626 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 20,626 . The biggest common factor number is the GCF number.
So the greatest common factor 20,626 is 2.

Lets's calculate LCM of 835,970

5 835, 970
167, 194

∴ So the LCM of the given numbers is 5 x 167 x 194 = 161990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/161990

Therefore, the GCF of Fractions 20/835,626/970 is 2/161990

Least Common Multiple of 835,970 with GCF Formula

Least Common Multiple of 835,970 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 835,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,970) = 5

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

GCF(835,970) x common factors =5 x 1 = 5

LCM(835,970) = ( 835 × 970 ) / 5

LCM(835,970) = 809950 / 5

LCM(835,970) = 161990


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 20/835, 626/970

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 20/835, 626/970?

Answer: GCF of Numerators as per given numbers 20/835, 626/970 is

GCF of Numerators i.e. for 20,626 is 2

LCM of denominators i.e. for 835,970 is 161990.

Thus, GCF of Fractions is 2/161990.Finally, GCF of Fractions for 20/835, 626/970 is 2/161990.