Greatest Common Factor of 8689/978, 4869/2074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8689/978, 4869/2074

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 8689/978,4869/2074

Given fractions are 8689/978,4869/2074

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 8689,4869

Greatest Common Factor of Numerators i.e. GCF of 8689,4869 is 1 .

LCM of Denominators means LCM of 978,2074 as per the given fractions.

LCM of 978,2074 is 1014186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8689,4869

GCF of Fractions 8689/978,4869/2074 is 1/1014186

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

Greatest Common Factor of 8689,4869 By Matching Biggest Common Factor Method

Greatest Common Factor of 8689,4869 By Matching Biggest Common Factor Method

Factors of 8689

List of positive integer factors of 8689 that divides 8689 without a remainder.

1,8689

Factors of 4869

List of positive integer factors of 4869 that divides 4869 without a remainder.

1,3,9,541,1623,4869

Greatest Common Factor

We found the factors 8689,4869 . The biggest common factor number is the GCF number.
So the greatest common factor 8689,4869 is 1.

Lets's calculate LCM of 978,2074

2 978, 2074
489, 1037

∴ So the LCM of the given numbers is 2 x 489 x 1037 = 1014186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1014186

Therefore, the GCF of Fractions 8689/978,4869/2074 is 1/1014186

Least Common Multiple of 978,2074 with GCF Formula

Least Common Multiple of 978,2074 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 978,2074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,2074) = 2

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

GCF(978,2074) x common factors =2 x 1 = 2

LCM(978,2074) = ( 978 × 2074 ) / 2

LCM(978,2074) = 2028372 / 2

LCM(978,2074) = 1014186


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 8689/978, 4869/2074

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 8689/978, 4869/2074?

Answer: GCF of Numerators as per given numbers 8689/978, 4869/2074 is

GCF of Numerators i.e. for 8689,4869 is 1

LCM of denominators i.e. for 978,2074 is 1014186.

Thus, GCF of Fractions is 1/1014186.Finally, GCF of Fractions for 8689/978, 4869/2074 is 1/1014186.