Greatest Common Factor of 8890/116, 9135/6527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8890/116, 9135/6527

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 8890/116,9135/6527

Given fractions are 8890/116,9135/6527

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 8890,9135

Greatest Common Factor of Numerators i.e. GCF of 8890,9135 is 35 .

LCM of Denominators means LCM of 116,6527 as per the given fractions.

LCM of 116,6527 is 757132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8890,9135

GCF of Fractions 8890/116,9135/6527 is 35/757132

5 8890, 9135
7 1778, 1827
254, 261

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 8890,9135 By Matching Biggest Common Factor Method

Greatest Common Factor of 8890,9135 By Matching Biggest Common Factor Method

Factors of 8890

List of positive integer factors of 8890 that divides 8890 without a remainder.

1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890

Factors of 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135

Greatest Common Factor

We found the factors 8890,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 8890,9135 is 35.

Lets's calculate LCM of 116,6527

Given numbers has no common factors except 1. So, there LCM is their product i.e 757132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/757132

Therefore, the GCF of Fractions 8890/116,9135/6527 is 35/757132

Least Common Multiple of 116,6527 with GCF Formula

Least Common Multiple of 116,6527 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 116,6527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,6527) = 1

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

GCF(116,6527) x common factors =1 x 1 = 1

LCM(116,6527) = ( 116 × 6527 ) / 1

LCM(116,6527) = 757132 / 1

LCM(116,6527) = 757132


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 8890/116, 9135/6527

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 8890/116, 9135/6527?

Answer: GCF of Numerators as per given numbers 8890/116, 9135/6527 is

GCF of Numerators i.e. for 8890,9135 is 35

LCM of denominators i.e. for 116,6527 is 757132.

Thus, GCF of Fractions is 35/757132.Finally, GCF of Fractions for 8890/116, 9135/6527 is 35/757132.