Greatest Common Factor of 7665/89, 2019/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7665/89, 2019/211

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 7665/89,2019/211

Given fractions are 7665/89,2019/211

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 7665,2019

Greatest Common Factor of Numerators i.e. GCF of 7665,2019 is 3 .

LCM of Denominators means LCM of 89,211 as per the given fractions.

LCM of 89,211 is 18779 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7665,2019

GCF of Fractions 7665/89,2019/211 is 3/18779

3 7665, 2019
2555, 673

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7665,2019 By Matching Biggest Common Factor Method

Greatest Common Factor of 7665,2019 By Matching Biggest Common Factor Method

Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665

Factors of 2019

List of positive integer factors of 2019 that divides 2019 without a remainder.

1,3,673,2019

Greatest Common Factor

We found the factors 7665,2019 . The biggest common factor number is the GCF number.
So the greatest common factor 7665,2019 is 3.

Lets's calculate LCM of 89,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 18779

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18779

Therefore, the GCF of Fractions 7665/89,2019/211 is 3/18779

Least Common Multiple of 89,211 with GCF Formula

Least Common Multiple of 89,211 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 89,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,211) = 1

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

GCF(89,211) x common factors =1 x 1 = 1

LCM(89,211) = ( 89 × 211 ) / 1

LCM(89,211) = 18779 / 1

LCM(89,211) = 18779


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 7665/89, 2019/211

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 7665/89, 2019/211?

Answer: GCF of Numerators as per given numbers 7665/89, 2019/211 is

GCF of Numerators i.e. for 7665,2019 is 3

LCM of denominators i.e. for 89,211 is 18779.

Thus, GCF of Fractions is 3/18779.Finally, GCF of Fractions for 7665/89, 2019/211 is 3/18779.