Greatest Common Factor of 2922/17, 6150/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2922/17, 6150/240

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 2922/17,6150/240

Given fractions are 2922/17,6150/240

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 2922,6150

Greatest Common Factor of Numerators i.e. GCF of 2922,6150 is 6 .

LCM of Denominators means LCM of 17,240 as per the given fractions.

LCM of 17,240 is 4080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2922,6150

GCF of Fractions 2922/17,6150/240 is 6/4080

2 2922, 6150
3 1461, 3075
487, 1025

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

Greatest Common Factor of 2922,6150 By Matching Biggest Common Factor Method

Greatest Common Factor of 2922,6150 By Matching Biggest Common Factor Method

Factors of 2922

List of positive integer factors of 2922 that divides 2922 without a remainder.

1,2,3,6,487,974,1461,2922

Factors of 6150

List of positive integer factors of 6150 that divides 6150 without a remainder.

1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150

Greatest Common Factor

We found the factors 2922,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 2922,6150 is 6.

Lets's calculate LCM of 17,240

Given numbers has no common factors except 1. So, there LCM is their product i.e 4080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4080

Therefore, the GCF of Fractions 2922/17,6150/240 is 6/4080

Least Common Multiple of 17,240 with GCF Formula

Least Common Multiple of 17,240 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 17,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,240) = 1

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

GCF(17,240) x common factors =1 x 1 = 1

LCM(17,240) = ( 17 × 240 ) / 1

LCM(17,240) = 4080 / 1

LCM(17,240) = 4080


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 2922/17, 6150/240

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 2922/17, 6150/240?

Answer: GCF of Numerators as per given numbers 2922/17, 6150/240 is

GCF of Numerators i.e. for 2922,6150 is 6

LCM of denominators i.e. for 17,240 is 4080.

Thus, GCF of Fractions is 6/4080.Finally, GCF of Fractions for 2922/17, 6150/240 is 6/4080.