Greatest Common Factor of 663/21, 702/8551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/21, 702/8551

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 663/21,702/8551

Given fractions are 663/21,702/8551

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 663,702

Greatest Common Factor of Numerators i.e. GCF of 663,702 is 39 .

LCM of Denominators means LCM of 21,8551 as per the given fractions.

LCM of 21,8551 is 179571 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,702

GCF of Fractions 663/21,702/8551 is 39/179571

3 663, 702
13 221, 234
17, 18

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 663,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,702 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 663,702 . The biggest common factor number is the GCF number.
So the greatest common factor 663,702 is 39.

Lets's calculate LCM of 21,8551

Given numbers has no common factors except 1. So, there LCM is their product i.e 179571

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/179571

Therefore, the GCF of Fractions 663/21,702/8551 is 39/179571

Least Common Multiple of 21,8551 with GCF Formula

Least Common Multiple of 21,8551 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 21,8551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,8551) = 1

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

GCF(21,8551) x common factors =1 x 1 = 1

LCM(21,8551) = ( 21 × 8551 ) / 1

LCM(21,8551) = 179571 / 1

LCM(21,8551) = 179571


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 663/21, 702/8551

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 663/21, 702/8551?

Answer: GCF of Numerators as per given numbers 663/21, 702/8551 is

GCF of Numerators i.e. for 663,702 is 39

LCM of denominators i.e. for 21,8551 is 179571.

Thus, GCF of Fractions is 39/179571.Finally, GCF of Fractions for 663/21, 702/8551 is 39/179571.