Greatest Common Factor of 8310/21, 7660/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8310/21, 7660/827

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 8310/21,7660/827

Given fractions are 8310/21,7660/827

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 8310,7660

Greatest Common Factor of Numerators i.e. GCF of 8310,7660 is 10 .

LCM of Denominators means LCM of 21,827 as per the given fractions.

LCM of 21,827 is 17367 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8310,7660

GCF of Fractions 8310/21,7660/827 is 10/17367

2 8310, 7660
5 4155, 3830
831, 766

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8310,7660 By Matching Biggest Common Factor Method

Greatest Common Factor of 8310,7660 By Matching Biggest Common Factor Method

Factors of 8310

List of positive integer factors of 8310 that divides 8310 without a remainder.

1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310

Factors of 7660

List of positive integer factors of 7660 that divides 7660 without a remainder.

1,2,4,5,10,20,383,766,1532,1915,3830,7660

Greatest Common Factor

We found the factors 8310,7660 . The biggest common factor number is the GCF number.
So the greatest common factor 8310,7660 is 10.

Lets's calculate LCM of 21,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 17367

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/17367

Therefore, the GCF of Fractions 8310/21,7660/827 is 10/17367

Least Common Multiple of 21,827 with GCF Formula

Least Common Multiple of 21,827 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 21,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,827) = 1

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

GCF(21,827) x common factors =1 x 1 = 1

LCM(21,827) = ( 21 × 827 ) / 1

LCM(21,827) = 17367 / 1

LCM(21,827) = 17367


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 8310/21, 7660/827

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 8310/21, 7660/827?

Answer: GCF of Numerators as per given numbers 8310/21, 7660/827 is

GCF of Numerators i.e. for 8310,7660 is 10

LCM of denominators i.e. for 21,827 is 17367.

Thus, GCF of Fractions is 10/17367.Finally, GCF of Fractions for 8310/21, 7660/827 is 10/17367.