Greatest Common Factor of 5217/39, 6216/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5217/39, 6216/510

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 5217/39,6216/510

Given fractions are 5217/39,6216/510

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 5217,6216

Greatest Common Factor of Numerators i.e. GCF of 5217,6216 is 111 .

LCM of Denominators means LCM of 39,510 as per the given fractions.

LCM of 39,510 is 6630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5217,6216

GCF of Fractions 5217/39,6216/510 is 111/6630

3 5217, 6216
37 1739, 2072
47, 56

∴ So the GCF of the given numbers is 3 x 37 = 111

Greatest Common Factor of 5217,6216 By Matching Biggest Common Factor Method

Greatest Common Factor of 5217,6216 By Matching Biggest Common Factor Method

Factors of 5217

List of positive integer factors of 5217 that divides 5217 without a remainder.

1,3,37,47,111,141,1739,5217

Factors of 6216

List of positive integer factors of 6216 that divides 6216 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,37,42,56,74,84,111,148,168,222,259,296,444,518,777,888,1036,1554,2072,3108,6216

Greatest Common Factor

We found the factors 5217,6216 . The biggest common factor number is the GCF number.
So the greatest common factor 5217,6216 is 111.

Lets's calculate LCM of 39,510

3 39, 510
13, 170

∴ So the LCM of the given numbers is 3 x 13 x 170 = 6630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 111/6630

Therefore, the GCF of Fractions 5217/39,6216/510 is 111/6630

Least Common Multiple of 39,510 with GCF Formula

Least Common Multiple of 39,510 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 39,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,510) = 3

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

GCF(39,510) x common factors =3 x 1 = 3

LCM(39,510) = ( 39 × 510 ) / 3

LCM(39,510) = 19890 / 3

LCM(39,510) = 6630


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 5217/39, 6216/510

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 5217/39, 6216/510?

Answer: GCF of Numerators as per given numbers 5217/39, 6216/510 is

GCF of Numerators i.e. for 5217,6216 is 111

LCM of denominators i.e. for 39,510 is 6630.

Thus, GCF of Fractions is 111/6630.Finally, GCF of Fractions for 5217/39, 6216/510 is 111/6630.