Greatest Common Factor of 8861/649, 9189/6856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8861/649, 9189/6856

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 8861/649,9189/6856

Given fractions are 8861/649,9189/6856

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 8861,9189

Greatest Common Factor of Numerators i.e. GCF of 8861,9189 is 1 .

LCM of Denominators means LCM of 649,6856 as per the given fractions.

LCM of 649,6856 is 4449544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8861,9189

GCF of Fractions 8861/649,9189/6856 is 1/4449544

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

Greatest Common Factor of 8861,9189 By Matching Biggest Common Factor Method

Greatest Common Factor of 8861,9189 By Matching Biggest Common Factor Method

Factors of 8861

List of positive integer factors of 8861 that divides 8861 without a remainder.

1,8861

Factors of 9189

List of positive integer factors of 9189 that divides 9189 without a remainder.

1,3,9,1021,3063,9189

Greatest Common Factor

We found the factors 8861,9189 . The biggest common factor number is the GCF number.
So the greatest common factor 8861,9189 is 1.

Lets's calculate LCM of 649,6856

Given numbers has no common factors except 1. So, there LCM is their product i.e 4449544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4449544

Therefore, the GCF of Fractions 8861/649,9189/6856 is 1/4449544

Least Common Multiple of 649,6856 with GCF Formula

Least Common Multiple of 649,6856 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 649,6856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,6856) = 1

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

GCF(649,6856) x common factors =1 x 1 = 1

LCM(649,6856) = ( 649 × 6856 ) / 1

LCM(649,6856) = 4449544 / 1

LCM(649,6856) = 4449544


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 8861/649, 9189/6856

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 8861/649, 9189/6856?

Answer: GCF of Numerators as per given numbers 8861/649, 9189/6856 is

GCF of Numerators i.e. for 8861,9189 is 1

LCM of denominators i.e. for 649,6856 is 4449544.

Thus, GCF of Fractions is 1/4449544.Finally, GCF of Fractions for 8861/649, 9189/6856 is 1/4449544.