Greatest Common Factor of 1659/95, 8817/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1659/95, 8817/307

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 1659/95,8817/307

Given fractions are 1659/95,8817/307

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 1659,8817

Greatest Common Factor of Numerators i.e. GCF of 1659,8817 is 3 .

LCM of Denominators means LCM of 95,307 as per the given fractions.

LCM of 95,307 is 29165 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1659,8817

GCF of Fractions 1659/95,8817/307 is 3/29165

3 1659, 8817
553, 2939

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

Greatest Common Factor of 1659,8817 By Matching Biggest Common Factor Method

Greatest Common Factor of 1659,8817 By Matching Biggest Common Factor Method

Factors of 1659

List of positive integer factors of 1659 that divides 1659 without a remainder.

1,3,7,21,79,237,553,1659

Factors of 8817

List of positive integer factors of 8817 that divides 8817 without a remainder.

1,3,2939,8817

Greatest Common Factor

We found the factors 1659,8817 . The biggest common factor number is the GCF number.
So the greatest common factor 1659,8817 is 3.

Lets's calculate LCM of 95,307

Given numbers has no common factors except 1. So, there LCM is their product i.e 29165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29165

Therefore, the GCF of Fractions 1659/95,8817/307 is 3/29165

Least Common Multiple of 95,307 with GCF Formula

Least Common Multiple of 95,307 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 95,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,307) = 1

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

GCF(95,307) x common factors =1 x 1 = 1

LCM(95,307) = ( 95 × 307 ) / 1

LCM(95,307) = 29165 / 1

LCM(95,307) = 29165


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 1659/95, 8817/307

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 1659/95, 8817/307?

Answer: GCF of Numerators as per given numbers 1659/95, 8817/307 is

GCF of Numerators i.e. for 1659,8817 is 3

LCM of denominators i.e. for 95,307 is 29165.

Thus, GCF of Fractions is 3/29165.Finally, GCF of Fractions for 1659/95, 8817/307 is 3/29165.