Greatest Common Factor of 4107/190, 1200/6645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4107/190, 1200/6645

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 4107/190,1200/6645

Given fractions are 4107/190,1200/6645

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 4107,1200

Greatest Common Factor of Numerators i.e. GCF of 4107,1200 is 3 .

LCM of Denominators means LCM of 190,6645 as per the given fractions.

LCM of 190,6645 is 252510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4107,1200

GCF of Fractions 4107/190,1200/6645 is 3/252510

3 4107, 1200
1369, 400

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4107,1200 By Matching Biggest Common Factor Method

Greatest Common Factor of 4107,1200 By Matching Biggest Common Factor Method

Factors of 4107

List of positive integer factors of 4107 that divides 4107 without a remainder.

1,3,37,111,1369,4107

Factors of 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200

Greatest Common Factor

We found the factors 4107,1200 . The biggest common factor number is the GCF number.
So the greatest common factor 4107,1200 is 3.

Lets's calculate LCM of 190,6645

5 190, 6645
38, 1329

∴ So the LCM of the given numbers is 5 x 38 x 1329 = 252510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/252510

Therefore, the GCF of Fractions 4107/190,1200/6645 is 3/252510

Least Common Multiple of 190,6645 with GCF Formula

Least Common Multiple of 190,6645 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 190,6645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,6645) = 5

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

GCF(190,6645) x common factors =5 x 1 = 5

LCM(190,6645) = ( 190 × 6645 ) / 5

LCM(190,6645) = 1262550 / 5

LCM(190,6645) = 252510


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 4107/190, 1200/6645

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 4107/190, 1200/6645?

Answer: GCF of Numerators as per given numbers 4107/190, 1200/6645 is

GCF of Numerators i.e. for 4107,1200 is 3

LCM of denominators i.e. for 190,6645 is 252510.

Thus, GCF of Fractions is 3/252510.Finally, GCF of Fractions for 4107/190, 1200/6645 is 3/252510.