Greatest Common Factor of 8547/17, 6216/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8547/17, 6216/398

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 8547/17,6216/398

Given fractions are 8547/17,6216/398

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 8547,6216

Greatest Common Factor of Numerators i.e. GCF of 8547,6216 is 777 .

LCM of Denominators means LCM of 17,398 as per the given fractions.

LCM of 17,398 is 6766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8547,6216

GCF of Fractions 8547/17,6216/398 is 777/6766

3 8547, 6216
7 2849, 2072
37 407, 296
11, 8

∴ So the GCF of the given numbers is 3 x 7 x 37 = 777

Greatest Common Factor of 8547,6216 By Matching Biggest Common Factor Method

Greatest Common Factor of 8547,6216 By Matching Biggest Common Factor Method

Factors of 8547

List of positive integer factors of 8547 that divides 8547 without a remainder.

1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547

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 8547,6216 . The biggest common factor number is the GCF number.
So the greatest common factor 8547,6216 is 777.

Lets's calculate LCM of 17,398

Given numbers has no common factors except 1. So, there LCM is their product i.e 6766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 777/6766

Therefore, the GCF of Fractions 8547/17,6216/398 is 777/6766

Least Common Multiple of 17,398 with GCF Formula

Least Common Multiple of 17,398 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 17,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,398) = 1

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

GCF(17,398) x common factors =1 x 1 = 1

LCM(17,398) = ( 17 × 398 ) / 1

LCM(17,398) = 6766 / 1

LCM(17,398) = 6766


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 8547/17, 6216/398

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 8547/17, 6216/398?

Answer: GCF of Numerators as per given numbers 8547/17, 6216/398 is

GCF of Numerators i.e. for 8547,6216 is 777

LCM of denominators i.e. for 17,398 is 6766.

Thus, GCF of Fractions is 777/6766.Finally, GCF of Fractions for 8547/17, 6216/398 is 777/6766.