Greatest Common Factor of 8880/89, 7782/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8880/89, 7782/187

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 8880/89,7782/187

Given fractions are 8880/89,7782/187

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 8880,7782

Greatest Common Factor of Numerators i.e. GCF of 8880,7782 is 6 .

LCM of Denominators means LCM of 89,187 as per the given fractions.

LCM of 89,187 is 16643 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8880,7782

GCF of Fractions 8880/89,7782/187 is 6/16643

2 8880, 7782
3 4440, 3891
1480, 1297

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8880,7782 By Matching Biggest Common Factor Method

Greatest Common Factor of 8880,7782 By Matching Biggest Common Factor Method

Factors of 8880

List of positive integer factors of 8880 that divides 8880 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880

Factors of 7782

List of positive integer factors of 7782 that divides 7782 without a remainder.

1,2,3,6,1297,2594,3891,7782

Greatest Common Factor

We found the factors 8880,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 8880,7782 is 6.

Lets's calculate LCM of 89,187

Given numbers has no common factors except 1. So, there LCM is their product i.e 16643

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/16643

Therefore, the GCF of Fractions 8880/89,7782/187 is 6/16643

Least Common Multiple of 89,187 with GCF Formula

Least Common Multiple of 89,187 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 89,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,187) = 1

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

GCF(89,187) x common factors =1 x 1 = 1

LCM(89,187) = ( 89 × 187 ) / 1

LCM(89,187) = 16643 / 1

LCM(89,187) = 16643


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 8880/89, 7782/187

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 8880/89, 7782/187?

Answer: GCF of Numerators as per given numbers 8880/89, 7782/187 is

GCF of Numerators i.e. for 8880,7782 is 6

LCM of denominators i.e. for 89,187 is 16643.

Thus, GCF of Fractions is 6/16643.Finally, GCF of Fractions for 8880/89, 7782/187 is 6/16643.