Greatest Common Factor of 6120/37, 7374/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6120/37, 7374/453

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 6120/37,7374/453

Given fractions are 6120/37,7374/453

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 6120,7374

Greatest Common Factor of Numerators i.e. GCF of 6120,7374 is 6 .

LCM of Denominators means LCM of 37,453 as per the given fractions.

LCM of 37,453 is 16761 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6120,7374

GCF of Fractions 6120/37,7374/453 is 6/16761

2 6120, 7374
3 3060, 3687
1020, 1229

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6120,7374 By Matching Biggest Common Factor Method

Greatest Common Factor of 6120,7374 By Matching Biggest Common Factor Method

Factors of 6120

List of positive integer factors of 6120 that divides 6120 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,17,18,20,24,30,34,36,40,45,51,60,68,72,85,90,102,120,136,153,170,180,204,255,306,340,360,408,510,612,680,765,1020,1224,1530,2040,3060,6120

Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1,2,3,6,1229,2458,3687,7374

Greatest Common Factor

We found the factors 6120,7374 . The biggest common factor number is the GCF number.
So the greatest common factor 6120,7374 is 6.

Lets's calculate LCM of 37,453

Given numbers has no common factors except 1. So, there LCM is their product i.e 16761

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/16761

Therefore, the GCF of Fractions 6120/37,7374/453 is 6/16761

Least Common Multiple of 37,453 with GCF Formula

Least Common Multiple of 37,453 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 37,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,453) = 1

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

GCF(37,453) x common factors =1 x 1 = 1

LCM(37,453) = ( 37 × 453 ) / 1

LCM(37,453) = 16761 / 1

LCM(37,453) = 16761


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 6120/37, 7374/453

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 6120/37, 7374/453?

Answer: GCF of Numerators as per given numbers 6120/37, 7374/453 is

GCF of Numerators i.e. for 6120,7374 is 6

LCM of denominators i.e. for 37,453 is 16761.

Thus, GCF of Fractions is 6/16761.Finally, GCF of Fractions for 6120/37, 7374/453 is 6/16761.