Greatest Common Factor of 3894/36, 7603/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3894/36, 7603/600

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 3894/36,7603/600

Given fractions are 3894/36,7603/600

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 3894,7603

Greatest Common Factor of Numerators i.e. GCF of 3894,7603 is 1 .

LCM of Denominators means LCM of 36,600 as per the given fractions.

LCM of 36,600 is 1800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3894,7603

GCF of Fractions 3894/36,7603/600 is 1/1800

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

Greatest Common Factor of 3894,7603 By Matching Biggest Common Factor Method

Greatest Common Factor of 3894,7603 By Matching Biggest Common Factor Method

Factors of 3894

List of positive integer factors of 3894 that divides 3894 without a remainder.

1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894

Factors of 7603

List of positive integer factors of 7603 that divides 7603 without a remainder.

1,7603

Greatest Common Factor

We found the factors 3894,7603 . The biggest common factor number is the GCF number.
So the greatest common factor 3894,7603 is 1.

Lets's calculate LCM of 36,600

2 36, 600
2 18, 300
3 9, 150
3, 50

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 50 = 1800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1800

Therefore, the GCF of Fractions 3894/36,7603/600 is 1/1800

Least Common Multiple of 36,600 with GCF Formula

Least Common Multiple of 36,600 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 36,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,600) = 12

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

GCF(36,600) x common factors =12 x 1 = 12

LCM(36,600) = ( 36 × 600 ) / 12

LCM(36,600) = 21600 / 12

LCM(36,600) = 1800


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 3894/36, 7603/600

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 3894/36, 7603/600?

Answer: GCF of Numerators as per given numbers 3894/36, 7603/600 is

GCF of Numerators i.e. for 3894,7603 is 1

LCM of denominators i.e. for 36,600 is 1800.

Thus, GCF of Fractions is 1/1800.Finally, GCF of Fractions for 3894/36, 7603/600 is 1/1800.