Greatest Common Factor of 7356/796, 6105/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7356/796, 6105/995

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 7356/796,6105/995

Given fractions are 7356/796,6105/995

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 7356,6105

Greatest Common Factor of Numerators i.e. GCF of 7356,6105 is 3 .

LCM of Denominators means LCM of 796,995 as per the given fractions.

LCM of 796,995 is 3980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7356,6105

GCF of Fractions 7356/796,6105/995 is 3/3980

3 7356, 6105
2452, 2035

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

Greatest Common Factor of 7356,6105 By Matching Biggest Common Factor Method

Greatest Common Factor of 7356,6105 By Matching Biggest Common Factor Method

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

Factors of 6105

List of positive integer factors of 6105 that divides 6105 without a remainder.

1,3,5,11,15,33,37,55,111,165,185,407,555,1221,2035,6105

Greatest Common Factor

We found the factors 7356,6105 . The biggest common factor number is the GCF number.
So the greatest common factor 7356,6105 is 3.

Lets's calculate LCM of 796,995

199 796, 995
4, 5

∴ So the LCM of the given numbers is 199 x 4 x 5 = 3980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3980

Therefore, the GCF of Fractions 7356/796,6105/995 is 3/3980

Least Common Multiple of 796,995 with GCF Formula

Least Common Multiple of 796,995 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 796,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,995) = 199

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

GCF(796,995) x common factors =199 x 1 = 199

LCM(796,995) = ( 796 × 995 ) / 199

LCM(796,995) = 792020 / 199

LCM(796,995) = 3980


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 7356/796, 6105/995

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 7356/796, 6105/995?

Answer: GCF of Numerators as per given numbers 7356/796, 6105/995 is

GCF of Numerators i.e. for 7356,6105 is 3

LCM of denominators i.e. for 796,995 is 3980.

Thus, GCF of Fractions is 3/3980.Finally, GCF of Fractions for 7356/796, 6105/995 is 3/3980.