Greatest Common Factor of 7990/339, 8084/1209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7990/339, 8084/1209

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 7990/339,8084/1209

Given fractions are 7990/339,8084/1209

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 7990,8084

Greatest Common Factor of Numerators i.e. GCF of 7990,8084 is 94 .

LCM of Denominators means LCM of 339,1209 as per the given fractions.

LCM of 339,1209 is 136617 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7990,8084

GCF of Fractions 7990/339,8084/1209 is 94/136617

2 7990, 8084
47 3995, 4042
85, 86

∴ So the GCF of the given numbers is 2 x 47 = 94

Greatest Common Factor of 7990,8084 By Matching Biggest Common Factor Method

Greatest Common Factor of 7990,8084 By Matching Biggest Common Factor Method

Factors of 7990

List of positive integer factors of 7990 that divides 7990 without a remainder.

1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1,2,4,43,47,86,94,172,188,2021,4042,8084

Greatest Common Factor

We found the factors 7990,8084 . The biggest common factor number is the GCF number.
So the greatest common factor 7990,8084 is 94.

Lets's calculate LCM of 339,1209

3 339, 1209
113, 403

∴ So the LCM of the given numbers is 3 x 113 x 403 = 136617

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 94/136617

Therefore, the GCF of Fractions 7990/339,8084/1209 is 94/136617

Least Common Multiple of 339,1209 with GCF Formula

Least Common Multiple of 339,1209 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 339,1209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,1209) = 3

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

GCF(339,1209) x common factors =3 x 1 = 3

LCM(339,1209) = ( 339 × 1209 ) / 3

LCM(339,1209) = 409851 / 3

LCM(339,1209) = 136617


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7990/339, 8084/1209

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 7990/339, 8084/1209?

Answer: GCF of Numerators as per given numbers 7990/339, 8084/1209 is

GCF of Numerators i.e. for 7990,8084 is 94

LCM of denominators i.e. for 339,1209 is 136617.

Thus, GCF of Fractions is 94/136617.Finally, GCF of Fractions for 7990/339, 8084/1209 is 94/136617.