Greatest Common Factor of 2028/240, 3834/7928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2028/240, 3834/7928

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 2028/240,3834/7928

Given fractions are 2028/240,3834/7928

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 2028,3834

Greatest Common Factor of Numerators i.e. GCF of 2028,3834 is 6 .

LCM of Denominators means LCM of 240,7928 as per the given fractions.

LCM of 240,7928 is 237840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2028,3834

GCF of Fractions 2028/240,3834/7928 is 6/237840

2 2028, 3834
3 1014, 1917
338, 639

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

Greatest Common Factor of 2028,3834 By Matching Biggest Common Factor Method

Greatest Common Factor of 2028,3834 By Matching Biggest Common Factor Method

Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156,169,338,507,676,1014,2028

Factors of 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834

Greatest Common Factor

We found the factors 2028,3834 . The biggest common factor number is the GCF number.
So the greatest common factor 2028,3834 is 6.

Lets's calculate LCM of 240,7928

2 240, 7928
2 120, 3964
2 60, 1982
30, 991

∴ So the LCM of the given numbers is 2 x 2 x 2 x 30 x 991 = 237840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/237840

Therefore, the GCF of Fractions 2028/240,3834/7928 is 6/237840

Least Common Multiple of 240,7928 with GCF Formula

Least Common Multiple of 240,7928 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 240,7928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,7928) = 8

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

GCF(240,7928) x common factors =8 x 1 = 8

LCM(240,7928) = ( 240 × 7928 ) / 8

LCM(240,7928) = 1902720 / 8

LCM(240,7928) = 237840


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 2028/240, 3834/7928

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 2028/240, 3834/7928?

Answer: GCF of Numerators as per given numbers 2028/240, 3834/7928 is

GCF of Numerators i.e. for 2028,3834 is 6

LCM of denominators i.e. for 240,7928 is 237840.

Thus, GCF of Fractions is 6/237840.Finally, GCF of Fractions for 2028/240, 3834/7928 is 6/237840.