Greatest Common Factor of 390/237, 5610/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/237, 5610/109

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 390/237,5610/109

Given fractions are 390/237,5610/109

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 390,5610

Greatest Common Factor of Numerators i.e. GCF of 390,5610 is 30 .

LCM of Denominators means LCM of 237,109 as per the given fractions.

LCM of 237,109 is 25833 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,5610

GCF of Fractions 390/237,5610/109 is 30/25833

2 390, 5610
3 195, 2805
5 65, 935
13, 187

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 390,5610 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,5610 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 5610

List of positive integer factors of 5610 that divides 5610 without a remainder.

1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610

Greatest Common Factor

We found the factors 390,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 390,5610 is 30.

Lets's calculate LCM of 237,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 25833

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/25833

Therefore, the GCF of Fractions 390/237,5610/109 is 30/25833

Least Common Multiple of 237,109 with GCF Formula

Least Common Multiple of 237,109 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 237,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,109) = 1

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

GCF(237,109) x common factors =1 x 1 = 1

LCM(237,109) = ( 237 × 109 ) / 1

LCM(237,109) = 25833 / 1

LCM(237,109) = 25833


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 390/237, 5610/109

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 390/237, 5610/109?

Answer: GCF of Numerators as per given numbers 390/237, 5610/109 is

GCF of Numerators i.e. for 390,5610 is 30

LCM of denominators i.e. for 237,109 is 25833.

Thus, GCF of Fractions is 30/25833.Finally, GCF of Fractions for 390/237, 5610/109 is 30/25833.