Greatest Common Factor of 9849/988, 8107/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9849/988, 8107/687

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 9849/988,8107/687

Given fractions are 9849/988,8107/687

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 9849,8107

Greatest Common Factor of Numerators i.e. GCF of 9849,8107 is 67 .

LCM of Denominators means LCM of 988,687 as per the given fractions.

LCM of 988,687 is 678756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9849,8107

GCF of Fractions 9849/988,8107/687 is 67/678756

67 9849, 8107
147, 121

∴ So the GCF of the given numbers is 67 = 67

Greatest Common Factor of 9849,8107 By Matching Biggest Common Factor Method

Greatest Common Factor of 9849,8107 By Matching Biggest Common Factor Method

Factors of 9849

List of positive integer factors of 9849 that divides 9849 without a remainder.

1,3,7,21,49,67,147,201,469,1407,3283,9849

Factors of 8107

List of positive integer factors of 8107 that divides 8107 without a remainder.

1,11,67,121,737,8107

Greatest Common Factor

We found the factors 9849,8107 . The biggest common factor number is the GCF number.
So the greatest common factor 9849,8107 is 67.

Lets's calculate LCM of 988,687

Given numbers has no common factors except 1. So, there LCM is their product i.e 678756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/678756

Therefore, the GCF of Fractions 9849/988,8107/687 is 67/678756

Least Common Multiple of 988,687 with GCF Formula

Least Common Multiple of 988,687 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 988,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,687) = 1

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

GCF(988,687) x common factors =1 x 1 = 1

LCM(988,687) = ( 988 × 687 ) / 1

LCM(988,687) = 678756 / 1

LCM(988,687) = 678756


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 9849/988, 8107/687

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 9849/988, 8107/687?

Answer: GCF of Numerators as per given numbers 9849/988, 8107/687 is

GCF of Numerators i.e. for 9849,8107 is 67

LCM of denominators i.e. for 988,687 is 678756.

Thus, GCF of Fractions is 67/678756.Finally, GCF of Fractions for 9849/988, 8107/687 is 67/678756.