Greatest Common Factor of 3228/11, 8550/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3228/11, 8550/131

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 3228/11,8550/131

Given fractions are 3228/11,8550/131

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 3228,8550

Greatest Common Factor of Numerators i.e. GCF of 3228,8550 is 6 .

LCM of Denominators means LCM of 11,131 as per the given fractions.

LCM of 11,131 is 1441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3228,8550

GCF of Fractions 3228/11,8550/131 is 6/1441

2 3228, 8550
3 1614, 4275
538, 1425

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3228,8550 By Matching Biggest Common Factor Method

Greatest Common Factor of 3228,8550 By Matching Biggest Common Factor Method

Factors of 3228

List of positive integer factors of 3228 that divides 3228 without a remainder.

1,2,3,4,6,12,269,538,807,1076,1614,3228

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 3228,8550 . The biggest common factor number is the GCF number.
So the greatest common factor 3228,8550 is 6.

Lets's calculate LCM of 11,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 1441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1441

Therefore, the GCF of Fractions 3228/11,8550/131 is 6/1441

Least Common Multiple of 11,131 with GCF Formula

Least Common Multiple of 11,131 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 11,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,131) = 1

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

GCF(11,131) x common factors =1 x 1 = 1

LCM(11,131) = ( 11 × 131 ) / 1

LCM(11,131) = 1441 / 1

LCM(11,131) = 1441


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 3228/11, 8550/131

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 3228/11, 8550/131?

Answer: GCF of Numerators as per given numbers 3228/11, 8550/131 is

GCF of Numerators i.e. for 3228,8550 is 6

LCM of denominators i.e. for 11,131 is 1441.

Thus, GCF of Fractions is 6/1441.Finally, GCF of Fractions for 3228/11, 8550/131 is 6/1441.