Greatest Common Factor of 5880/268, 3804/8875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5880/268, 3804/8875

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 5880/268,3804/8875

Given fractions are 5880/268,3804/8875

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 5880,3804

Greatest Common Factor of Numerators i.e. GCF of 5880,3804 is 12 .

LCM of Denominators means LCM of 268,8875 as per the given fractions.

LCM of 268,8875 is 2378500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5880,3804

GCF of Fractions 5880/268,3804/8875 is 12/2378500

2 5880, 3804
2 2940, 1902
3 1470, 951
490, 317

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5880,3804 By Matching Biggest Common Factor Method

Greatest Common Factor of 5880,3804 By Matching Biggest Common Factor Method

Factors of 5880

List of positive integer factors of 5880 that divides 5880 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880

Factors of 3804

List of positive integer factors of 3804 that divides 3804 without a remainder.

1,2,3,4,6,12,317,634,951,1268,1902,3804

Greatest Common Factor

We found the factors 5880,3804 . The biggest common factor number is the GCF number.
So the greatest common factor 5880,3804 is 12.

Lets's calculate LCM of 268,8875

Given numbers has no common factors except 1. So, there LCM is their product i.e 2378500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2378500

Therefore, the GCF of Fractions 5880/268,3804/8875 is 12/2378500

Least Common Multiple of 268,8875 with GCF Formula

Least Common Multiple of 268,8875 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 268,8875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,8875) = 1

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

GCF(268,8875) x common factors =1 x 1 = 1

LCM(268,8875) = ( 268 × 8875 ) / 1

LCM(268,8875) = 2378500 / 1

LCM(268,8875) = 2378500


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 5880/268, 3804/8875

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 5880/268, 3804/8875?

Answer: GCF of Numerators as per given numbers 5880/268, 3804/8875 is

GCF of Numerators i.e. for 5880,3804 is 12

LCM of denominators i.e. for 268,8875 is 2378500.

Thus, GCF of Fractions is 12/2378500.Finally, GCF of Fractions for 5880/268, 3804/8875 is 12/2378500.