Greatest Common Factor of 9116/659, 8577/1618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9116/659, 8577/1618

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 9116/659,8577/1618

Given fractions are 9116/659,8577/1618

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 9116,8577

Greatest Common Factor of Numerators i.e. GCF of 9116,8577 is 1 .

LCM of Denominators means LCM of 659,1618 as per the given fractions.

LCM of 659,1618 is 1066262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9116,8577

GCF of Fractions 9116/659,8577/1618 is 1/1066262

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9116,8577 By Matching Biggest Common Factor Method

Greatest Common Factor of 9116,8577 By Matching Biggest Common Factor Method

Factors of 9116

List of positive integer factors of 9116 that divides 9116 without a remainder.

1,2,4,43,53,86,106,172,212,2279,4558,9116

Factors of 8577

List of positive integer factors of 8577 that divides 8577 without a remainder.

1,3,9,953,2859,8577

Greatest Common Factor

We found the factors 9116,8577 . The biggest common factor number is the GCF number.
So the greatest common factor 9116,8577 is 1.

Lets's calculate LCM of 659,1618

Given numbers has no common factors except 1. So, there LCM is their product i.e 1066262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1066262

Therefore, the GCF of Fractions 9116/659,8577/1618 is 1/1066262

Least Common Multiple of 659,1618 with GCF Formula

Least Common Multiple of 659,1618 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 659,1618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,1618) = 1

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

GCF(659,1618) x common factors =1 x 1 = 1

LCM(659,1618) = ( 659 × 1618 ) / 1

LCM(659,1618) = 1066262 / 1

LCM(659,1618) = 1066262


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 9116/659, 8577/1618

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 9116/659, 8577/1618?

Answer: GCF of Numerators as per given numbers 9116/659, 8577/1618 is

GCF of Numerators i.e. for 9116,8577 is 1

LCM of denominators i.e. for 659,1618 is 1066262.

Thus, GCF of Fractions is 1/1066262.Finally, GCF of Fractions for 9116/659, 8577/1618 is 1/1066262.