Greatest Common Factor of 8885/210, 7695/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8885/210, 7695/244

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 8885/210,7695/244

Given fractions are 8885/210,7695/244

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 8885,7695

Greatest Common Factor of Numerators i.e. GCF of 8885,7695 is 5 .

LCM of Denominators means LCM of 210,244 as per the given fractions.

LCM of 210,244 is 25620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8885,7695

GCF of Fractions 8885/210,7695/244 is 5/25620

5 8885, 7695
1777, 1539

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8885,7695 By Matching Biggest Common Factor Method

Greatest Common Factor of 8885,7695 By Matching Biggest Common Factor Method

Factors of 8885

List of positive integer factors of 8885 that divides 8885 without a remainder.

1,5,1777,8885

Factors of 7695

List of positive integer factors of 7695 that divides 7695 without a remainder.

1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695

Greatest Common Factor

We found the factors 8885,7695 . The biggest common factor number is the GCF number.
So the greatest common factor 8885,7695 is 5.

Lets's calculate LCM of 210,244

2 210, 244
105, 122

∴ So the LCM of the given numbers is 2 x 105 x 122 = 25620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/25620

Therefore, the GCF of Fractions 8885/210,7695/244 is 5/25620

Least Common Multiple of 210,244 with GCF Formula

Least Common Multiple of 210,244 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 210,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,244) = 2

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

GCF(210,244) x common factors =2 x 1 = 2

LCM(210,244) = ( 210 × 244 ) / 2

LCM(210,244) = 51240 / 2

LCM(210,244) = 25620


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 8885/210, 7695/244

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 8885/210, 7695/244?

Answer: GCF of Numerators as per given numbers 8885/210, 7695/244 is

GCF of Numerators i.e. for 8885,7695 is 5

LCM of denominators i.e. for 210,244 is 25620.

Thus, GCF of Fractions is 5/25620.Finally, GCF of Fractions for 8885/210, 7695/244 is 5/25620.