Greatest Common Factor of 8421/682, 7080/6611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8421/682, 7080/6611

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 8421/682,7080/6611

Given fractions are 8421/682,7080/6611

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 8421,7080

Greatest Common Factor of Numerators i.e. GCF of 8421,7080 is 3 .

LCM of Denominators means LCM of 682,6611 as per the given fractions.

LCM of 682,6611 is 409882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8421,7080

GCF of Fractions 8421/682,7080/6611 is 3/409882

3 8421, 7080
2807, 2360

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8421,7080 By Matching Biggest Common Factor Method

Greatest Common Factor of 8421,7080 By Matching Biggest Common Factor Method

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1,3,7,21,401,1203,2807,8421

Factors of 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080

Greatest Common Factor

We found the factors 8421,7080 . The biggest common factor number is the GCF number.
So the greatest common factor 8421,7080 is 3.

Lets's calculate LCM of 682,6611

11 682, 6611
62, 601

∴ So the LCM of the given numbers is 11 x 62 x 601 = 409882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/409882

Therefore, the GCF of Fractions 8421/682,7080/6611 is 3/409882

Least Common Multiple of 682,6611 with GCF Formula

Least Common Multiple of 682,6611 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 682,6611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,6611) = 11

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

GCF(682,6611) x common factors =11 x 1 = 11

LCM(682,6611) = ( 682 × 6611 ) / 11

LCM(682,6611) = 4508702 / 11

LCM(682,6611) = 409882


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 8421/682, 7080/6611

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 8421/682, 7080/6611?

Answer: GCF of Numerators as per given numbers 8421/682, 7080/6611 is

GCF of Numerators i.e. for 8421,7080 is 3

LCM of denominators i.e. for 682,6611 is 409882.

Thus, GCF of Fractions is 3/409882.Finally, GCF of Fractions for 8421/682, 7080/6611 is 3/409882.