Greatest Common Factor of 8877/109, 4698/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8877/109, 4698/997

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 8877/109,4698/997

Given fractions are 8877/109,4698/997

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 8877,4698

Greatest Common Factor of Numerators i.e. GCF of 8877,4698 is 3 .

LCM of Denominators means LCM of 109,997 as per the given fractions.

LCM of 109,997 is 108673 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8877,4698

GCF of Fractions 8877/109,4698/997 is 3/108673

3 8877, 4698
2959, 1566

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

Greatest Common Factor of 8877,4698 By Matching Biggest Common Factor Method

Greatest Common Factor of 8877,4698 By Matching Biggest Common Factor Method

Factors of 8877

List of positive integer factors of 8877 that divides 8877 without a remainder.

1,3,11,33,269,807,2959,8877

Factors of 4698

List of positive integer factors of 4698 that divides 4698 without a remainder.

1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698

Greatest Common Factor

We found the factors 8877,4698 . The biggest common factor number is the GCF number.
So the greatest common factor 8877,4698 is 3.

Lets's calculate LCM of 109,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 108673

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/108673

Therefore, the GCF of Fractions 8877/109,4698/997 is 3/108673

Least Common Multiple of 109,997 with GCF Formula

Least Common Multiple of 109,997 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 109,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,997) = 1

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

GCF(109,997) x common factors =1 x 1 = 1

LCM(109,997) = ( 109 × 997 ) / 1

LCM(109,997) = 108673 / 1

LCM(109,997) = 108673


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 8877/109, 4698/997

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 8877/109, 4698/997?

Answer: GCF of Numerators as per given numbers 8877/109, 4698/997 is

GCF of Numerators i.e. for 8877,4698 is 3

LCM of denominators i.e. for 109,997 is 108673.

Thus, GCF of Fractions is 3/108673.Finally, GCF of Fractions for 8877/109, 4698/997 is 3/108673.