Greatest Common Factor of 9979/13, 8073/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9979/13, 8073/639

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 9979/13,8073/639

Given fractions are 9979/13,8073/639

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 9979,8073

Greatest Common Factor of Numerators i.e. GCF of 9979,8073 is 1 .

LCM of Denominators means LCM of 13,639 as per the given fractions.

LCM of 13,639 is 8307 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9979,8073

GCF of Fractions 9979/13,8073/639 is 1/8307

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

Greatest Common Factor of 9979,8073 By Matching Biggest Common Factor Method

Greatest Common Factor of 9979,8073 By Matching Biggest Common Factor Method

Factors of 9979

List of positive integer factors of 9979 that divides 9979 without a remainder.

1,17,587,9979

Factors of 8073

List of positive integer factors of 8073 that divides 8073 without a remainder.

1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073

Greatest Common Factor

We found the factors 9979,8073 . The biggest common factor number is the GCF number.
So the greatest common factor 9979,8073 is 1.

Lets's calculate LCM of 13,639

Given numbers has no common factors except 1. So, there LCM is their product i.e 8307

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8307

Therefore, the GCF of Fractions 9979/13,8073/639 is 1/8307

Least Common Multiple of 13,639 with GCF Formula

Least Common Multiple of 13,639 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 13,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,639) = 1

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

GCF(13,639) x common factors =1 x 1 = 1

LCM(13,639) = ( 13 × 639 ) / 1

LCM(13,639) = 8307 / 1

LCM(13,639) = 8307


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 9979/13, 8073/639

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 9979/13, 8073/639?

Answer: GCF of Numerators as per given numbers 9979/13, 8073/639 is

GCF of Numerators i.e. for 9979,8073 is 1

LCM of denominators i.e. for 13,639 is 8307.

Thus, GCF of Fractions is 1/8307.Finally, GCF of Fractions for 9979/13, 8073/639 is 1/8307.