Greatest Common Factor of 8050/20, 7720/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8050/20, 7720/165

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 8050/20,7720/165

Given fractions are 8050/20,7720/165

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 8050,7720

Greatest Common Factor of Numerators i.e. GCF of 8050,7720 is 10 .

LCM of Denominators means LCM of 20,165 as per the given fractions.

LCM of 20,165 is 660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8050,7720

GCF of Fractions 8050/20,7720/165 is 10/660

2 8050, 7720
5 4025, 3860
805, 772

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8050,7720 By Matching Biggest Common Factor Method

Greatest Common Factor of 8050,7720 By Matching Biggest Common Factor Method

Factors of 8050

List of positive integer factors of 8050 that divides 8050 without a remainder.

1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050

Factors of 7720

List of positive integer factors of 7720 that divides 7720 without a remainder.

1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720

Greatest Common Factor

We found the factors 8050,7720 . The biggest common factor number is the GCF number.
So the greatest common factor 8050,7720 is 10.

Lets's calculate LCM of 20,165

5 20, 165
4, 33

∴ So the LCM of the given numbers is 5 x 4 x 33 = 660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/660

Therefore, the GCF of Fractions 8050/20,7720/165 is 10/660

Least Common Multiple of 20,165 with GCF Formula

Least Common Multiple of 20,165 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 20,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,165) = 5

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

GCF(20,165) x common factors =5 x 1 = 5

LCM(20,165) = ( 20 × 165 ) / 5

LCM(20,165) = 3300 / 5

LCM(20,165) = 660


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 8050/20, 7720/165

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 8050/20, 7720/165?

Answer: GCF of Numerators as per given numbers 8050/20, 7720/165 is

GCF of Numerators i.e. for 8050,7720 is 10

LCM of denominators i.e. for 20,165 is 660.

Thus, GCF of Fractions is 10/660.Finally, GCF of Fractions for 8050/20, 7720/165 is 10/660.