Greatest Common Factor of 3864/725, 3388/2798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3864/725, 3388/2798

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 3864/725,3388/2798

Given fractions are 3864/725,3388/2798

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 3864,3388

Greatest Common Factor of Numerators i.e. GCF of 3864,3388 is 28 .

LCM of Denominators means LCM of 725,2798 as per the given fractions.

LCM of 725,2798 is 2028550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3864,3388

GCF of Fractions 3864/725,3388/2798 is 28/2028550

2 3864, 3388
2 1932, 1694
7 966, 847
138, 121

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 3864,3388 By Matching Biggest Common Factor Method

Greatest Common Factor of 3864,3388 By Matching Biggest Common Factor Method

Factors of 3864

List of positive integer factors of 3864 that divides 3864 without a remainder.

1,2,3,4,6,7,8,12,14,21,23,24,28,42,46,56,69,84,92,138,161,168,184,276,322,483,552,644,966,1288,1932,3864

Factors of 3388

List of positive integer factors of 3388 that divides 3388 without a remainder.

1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388

Greatest Common Factor

We found the factors 3864,3388 . The biggest common factor number is the GCF number.
So the greatest common factor 3864,3388 is 28.

Lets's calculate LCM of 725,2798

Given numbers has no common factors except 1. So, there LCM is their product i.e 2028550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/2028550

Therefore, the GCF of Fractions 3864/725,3388/2798 is 28/2028550

Least Common Multiple of 725,2798 with GCF Formula

Least Common Multiple of 725,2798 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 725,2798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,2798) = 1

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

GCF(725,2798) x common factors =1 x 1 = 1

LCM(725,2798) = ( 725 × 2798 ) / 1

LCM(725,2798) = 2028550 / 1

LCM(725,2798) = 2028550


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 3864/725, 3388/2798

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 3864/725, 3388/2798?

Answer: GCF of Numerators as per given numbers 3864/725, 3388/2798 is

GCF of Numerators i.e. for 3864,3388 is 28

LCM of denominators i.e. for 725,2798 is 2028550.

Thus, GCF of Fractions is 28/2028550.Finally, GCF of Fractions for 3864/725, 3388/2798 is 28/2028550.