Greatest Common Factor of 6794/695, 7350/9165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6794/695, 7350/9165

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 6794/695,7350/9165

Given fractions are 6794/695,7350/9165

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 6794,7350

Greatest Common Factor of Numerators i.e. GCF of 6794,7350 is 2 .

LCM of Denominators means LCM of 695,9165 as per the given fractions.

LCM of 695,9165 is 1273935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6794,7350

GCF of Fractions 6794/695,7350/9165 is 2/1273935

2 6794, 7350
3397, 3675

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6794,7350 By Matching Biggest Common Factor Method

Greatest Common Factor of 6794,7350 By Matching Biggest Common Factor Method

Factors of 6794

List of positive integer factors of 6794 that divides 6794 without a remainder.

1,2,43,79,86,158,3397,6794

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350

Greatest Common Factor

We found the factors 6794,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 6794,7350 is 2.

Lets's calculate LCM of 695,9165

5 695, 9165
139, 1833

∴ So the LCM of the given numbers is 5 x 139 x 1833 = 1273935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1273935

Therefore, the GCF of Fractions 6794/695,7350/9165 is 2/1273935

Least Common Multiple of 695,9165 with GCF Formula

Least Common Multiple of 695,9165 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 695,9165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,9165) = 5

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

GCF(695,9165) x common factors =5 x 1 = 5

LCM(695,9165) = ( 695 × 9165 ) / 5

LCM(695,9165) = 6369675 / 5

LCM(695,9165) = 1273935


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 6794/695, 7350/9165

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 6794/695, 7350/9165?

Answer: GCF of Numerators as per given numbers 6794/695, 7350/9165 is

GCF of Numerators i.e. for 6794,7350 is 2

LCM of denominators i.e. for 695,9165 is 1273935.

Thus, GCF of Fractions is 2/1273935.Finally, GCF of Fractions for 6794/695, 7350/9165 is 2/1273935.