Greatest Common Factor of 8151/968, 8550/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8151/968, 8550/418

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 8151/968,8550/418

Given fractions are 8151/968,8550/418

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 8151,8550

Greatest Common Factor of Numerators i.e. GCF of 8151,8550 is 57 .

LCM of Denominators means LCM of 968,418 as per the given fractions.

LCM of 968,418 is 18392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8151,8550

GCF of Fractions 8151/968,8550/418 is 57/18392

3 8151, 8550
19 2717, 2850
143, 150

∴ So the GCF of the given numbers is 3 x 19 = 57

Greatest Common Factor of 8151,8550 By Matching Biggest Common Factor Method

Greatest Common Factor of 8151,8550 By Matching Biggest Common Factor Method

Factors of 8151

List of positive integer factors of 8151 that divides 8151 without a remainder.

1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151

Factors of 8550

List of positive integer factors of 8550 that divides 8550 without a remainder.

1,2,3,5,6,9,10,15,18,19,25,30,38,45,50,57,75,90,95,114,150,171,190,225,285,342,450,475,570,855,950,1425,1710,2850,4275,8550

Greatest Common Factor

We found the factors 8151,8550 . The biggest common factor number is the GCF number.
So the greatest common factor 8151,8550 is 57.

Lets's calculate LCM of 968,418

2 968, 418
11 484, 209
44, 19

∴ So the LCM of the given numbers is 2 x 11 x 44 x 19 = 18392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/18392

Therefore, the GCF of Fractions 8151/968,8550/418 is 57/18392

Least Common Multiple of 968,418 with GCF Formula

Least Common Multiple of 968,418 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 968,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,418) = 22

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

GCF(968,418) x common factors =22 x 1 = 22

LCM(968,418) = ( 968 × 418 ) / 22

LCM(968,418) = 404624 / 22

LCM(968,418) = 18392


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 8151/968, 8550/418

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 8151/968, 8550/418?

Answer: GCF of Numerators as per given numbers 8151/968, 8550/418 is

GCF of Numerators i.e. for 8151,8550 is 57

LCM of denominators i.e. for 968,418 is 18392.

Thus, GCF of Fractions is 57/18392.Finally, GCF of Fractions for 8151/968, 8550/418 is 57/18392.