Greatest Common Factor of 3817/300, 6624/4074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3817/300, 6624/4074

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 3817/300,6624/4074

Given fractions are 3817/300,6624/4074

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 3817,6624

Greatest Common Factor of Numerators i.e. GCF of 3817,6624 is 1 .

LCM of Denominators means LCM of 300,4074 as per the given fractions.

LCM of 300,4074 is 203700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3817,6624

GCF of Fractions 3817/300,6624/4074 is 1/203700

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3817,6624 By Matching Biggest Common Factor Method

Greatest Common Factor of 3817,6624 By Matching Biggest Common Factor Method

Factors of 3817

List of positive integer factors of 3817 that divides 3817 without a remainder.

1,11,347,3817

Factors of 6624

List of positive integer factors of 6624 that divides 6624 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,32,36,46,48,69,72,92,96,138,144,184,207,276,288,368,414,552,736,828,1104,1656,2208,3312,6624

Greatest Common Factor

We found the factors 3817,6624 . The biggest common factor number is the GCF number.
So the greatest common factor 3817,6624 is 1.

Lets's calculate LCM of 300,4074

2 300, 4074
3 150, 2037
50, 679

∴ So the LCM of the given numbers is 2 x 3 x 50 x 679 = 203700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203700

Therefore, the GCF of Fractions 3817/300,6624/4074 is 1/203700

Least Common Multiple of 300,4074 with GCF Formula

Least Common Multiple of 300,4074 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 300,4074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,4074) = 6

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

GCF(300,4074) x common factors =6 x 1 = 6

LCM(300,4074) = ( 300 × 4074 ) / 6

LCM(300,4074) = 1222200 / 6

LCM(300,4074) = 203700


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 3817/300, 6624/4074

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 3817/300, 6624/4074?

Answer: GCF of Numerators as per given numbers 3817/300, 6624/4074 is

GCF of Numerators i.e. for 3817,6624 is 1

LCM of denominators i.e. for 300,4074 is 203700.

Thus, GCF of Fractions is 1/203700.Finally, GCF of Fractions for 3817/300, 6624/4074 is 1/203700.