Greatest Common Factor of 8789/182, 8888/8001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8789/182, 8888/8001

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 8789/182,8888/8001

Given fractions are 8789/182,8888/8001

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 8789,8888

Greatest Common Factor of Numerators i.e. GCF of 8789,8888 is 11 .

LCM of Denominators means LCM of 182,8001 as per the given fractions.

LCM of 182,8001 is 208026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8789,8888

GCF of Fractions 8789/182,8888/8001 is 11/208026

11 8789, 8888
799, 808

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8789,8888 By Matching Biggest Common Factor Method

Greatest Common Factor of 8789,8888 By Matching Biggest Common Factor Method

Factors of 8789

List of positive integer factors of 8789 that divides 8789 without a remainder.

1,11,17,47,187,517,799,8789

Factors of 8888

List of positive integer factors of 8888 that divides 8888 without a remainder.

1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888

Greatest Common Factor

We found the factors 8789,8888 . The biggest common factor number is the GCF number.
So the greatest common factor 8789,8888 is 11.

Lets's calculate LCM of 182,8001

7 182, 8001
26, 1143

∴ So the LCM of the given numbers is 7 x 26 x 1143 = 208026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/208026

Therefore, the GCF of Fractions 8789/182,8888/8001 is 11/208026

Least Common Multiple of 182,8001 with GCF Formula

Least Common Multiple of 182,8001 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 182,8001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,8001) = 7

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

GCF(182,8001) x common factors =7 x 1 = 7

LCM(182,8001) = ( 182 × 8001 ) / 7

LCM(182,8001) = 1456182 / 7

LCM(182,8001) = 208026


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 8789/182, 8888/8001

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 8789/182, 8888/8001?

Answer: GCF of Numerators as per given numbers 8789/182, 8888/8001 is

GCF of Numerators i.e. for 8789,8888 is 11

LCM of denominators i.e. for 182,8001 is 208026.

Thus, GCF of Fractions is 11/208026.Finally, GCF of Fractions for 8789/182, 8888/8001 is 11/208026.