Greatest Common Factor of 8196/685, 1893/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8196/685, 1893/875

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 8196/685,1893/875

Given fractions are 8196/685,1893/875

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 8196,1893

Greatest Common Factor of Numerators i.e. GCF of 8196,1893 is 3 .

LCM of Denominators means LCM of 685,875 as per the given fractions.

LCM of 685,875 is 119875 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8196,1893

GCF of Fractions 8196/685,1893/875 is 3/119875

3 8196, 1893
2732, 631

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

Greatest Common Factor of 8196,1893 By Matching Biggest Common Factor Method

Greatest Common Factor of 8196,1893 By Matching Biggest Common Factor Method

Factors of 8196

List of positive integer factors of 8196 that divides 8196 without a remainder.

1,2,3,4,6,12,683,1366,2049,2732,4098,8196

Factors of 1893

List of positive integer factors of 1893 that divides 1893 without a remainder.

1,3,631,1893

Greatest Common Factor

We found the factors 8196,1893 . The biggest common factor number is the GCF number.
So the greatest common factor 8196,1893 is 3.

Lets's calculate LCM of 685,875

5 685, 875
137, 175

∴ So the LCM of the given numbers is 5 x 137 x 175 = 119875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/119875

Therefore, the GCF of Fractions 8196/685,1893/875 is 3/119875

Least Common Multiple of 685,875 with GCF Formula

Least Common Multiple of 685,875 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 685,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,875) = 5

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

GCF(685,875) x common factors =5 x 1 = 5

LCM(685,875) = ( 685 × 875 ) / 5

LCM(685,875) = 599375 / 5

LCM(685,875) = 119875


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 8196/685, 1893/875

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 8196/685, 1893/875?

Answer: GCF of Numerators as per given numbers 8196/685, 1893/875 is

GCF of Numerators i.e. for 8196,1893 is 3

LCM of denominators i.e. for 685,875 is 119875.

Thus, GCF of Fractions is 3/119875.Finally, GCF of Fractions for 8196/685, 1893/875 is 3/119875.