Greatest Common Factor of 3870/29, 2592/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3870/29, 2592/945

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 3870/29,2592/945

Given fractions are 3870/29,2592/945

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 3870,2592

Greatest Common Factor of Numerators i.e. GCF of 3870,2592 is 18 .

LCM of Denominators means LCM of 29,945 as per the given fractions.

LCM of 29,945 is 27405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3870,2592

GCF of Fractions 3870/29,2592/945 is 18/27405

2 3870, 2592
3 1935, 1296
3 645, 432
215, 144

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 3870,2592 By Matching Biggest Common Factor Method

Greatest Common Factor of 3870,2592 By Matching Biggest Common Factor Method

Factors of 3870

List of positive integer factors of 3870 that divides 3870 without a remainder.

1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870

Factors of 2592

List of positive integer factors of 2592 that divides 2592 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,288,324,432,648,864,1296,2592

Greatest Common Factor

We found the factors 3870,2592 . The biggest common factor number is the GCF number.
So the greatest common factor 3870,2592 is 18.

Lets's calculate LCM of 29,945

Given numbers has no common factors except 1. So, there LCM is their product i.e 27405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/27405

Therefore, the GCF of Fractions 3870/29,2592/945 is 18/27405

Least Common Multiple of 29,945 with GCF Formula

Least Common Multiple of 29,945 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 29,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,945) = 1

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

GCF(29,945) x common factors =1 x 1 = 1

LCM(29,945) = ( 29 × 945 ) / 1

LCM(29,945) = 27405 / 1

LCM(29,945) = 27405


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 3870/29, 2592/945

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 3870/29, 2592/945?

Answer: GCF of Numerators as per given numbers 3870/29, 2592/945 is

GCF of Numerators i.e. for 3870,2592 is 18

LCM of denominators i.e. for 29,945 is 27405.

Thus, GCF of Fractions is 18/27405.Finally, GCF of Fractions for 3870/29, 2592/945 is 18/27405.