Greatest Common Factor of 7999/605, 7356/8980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7999/605, 7356/8980

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 7999/605,7356/8980

Given fractions are 7999/605,7356/8980

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 7999,7356

Greatest Common Factor of Numerators i.e. GCF of 7999,7356 is 1 .

LCM of Denominators means LCM of 605,8980 as per the given fractions.

LCM of 605,8980 is 1086580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7999,7356

GCF of Fractions 7999/605,7356/8980 is 1/1086580

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

Greatest Common Factor of 7999,7356 By Matching Biggest Common Factor Method

Greatest Common Factor of 7999,7356 By Matching Biggest Common Factor Method

Factors of 7999

List of positive integer factors of 7999 that divides 7999 without a remainder.

1,19,421,7999

Factors of 7356

List of positive integer factors of 7356 that divides 7356 without a remainder.

1,2,3,4,6,12,613,1226,1839,2452,3678,7356

Greatest Common Factor

We found the factors 7999,7356 . The biggest common factor number is the GCF number.
So the greatest common factor 7999,7356 is 1.

Lets's calculate LCM of 605,8980

5 605, 8980
121, 1796

∴ So the LCM of the given numbers is 5 x 121 x 1796 = 1086580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1086580

Therefore, the GCF of Fractions 7999/605,7356/8980 is 1/1086580

Least Common Multiple of 605,8980 with GCF Formula

Least Common Multiple of 605,8980 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 605,8980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,8980) = 5

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

GCF(605,8980) x common factors =5 x 1 = 5

LCM(605,8980) = ( 605 × 8980 ) / 5

LCM(605,8980) = 5432900 / 5

LCM(605,8980) = 1086580


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 7999/605, 7356/8980

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 7999/605, 7356/8980?

Answer: GCF of Numerators as per given numbers 7999/605, 7356/8980 is

GCF of Numerators i.e. for 7999,7356 is 1

LCM of denominators i.e. for 605,8980 is 1086580.

Thus, GCF of Fractions is 1/1086580.Finally, GCF of Fractions for 7999/605, 7356/8980 is 1/1086580.