Greatest Common Factor of 3690/73, 3080/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3690/73, 3080/454

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 3690/73,3080/454

Given fractions are 3690/73,3080/454

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 3690,3080

Greatest Common Factor of Numerators i.e. GCF of 3690,3080 is 10 .

LCM of Denominators means LCM of 73,454 as per the given fractions.

LCM of 73,454 is 33142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3690,3080

GCF of Fractions 3690/73,3080/454 is 10/33142

2 3690, 3080
5 1845, 1540
369, 308

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3690,3080 By Matching Biggest Common Factor Method

Greatest Common Factor of 3690,3080 By Matching Biggest Common Factor Method

Factors of 3690

List of positive integer factors of 3690 that divides 3690 without a remainder.

1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690

Factors of 3080

List of positive integer factors of 3080 that divides 3080 without a remainder.

1,2,4,5,7,8,10,11,14,20,22,28,35,40,44,55,56,70,77,88,110,140,154,220,280,308,385,440,616,770,1540,3080

Greatest Common Factor

We found the factors 3690,3080 . The biggest common factor number is the GCF number.
So the greatest common factor 3690,3080 is 10.

Lets's calculate LCM of 73,454

Given numbers has no common factors except 1. So, there LCM is their product i.e 33142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/33142

Therefore, the GCF of Fractions 3690/73,3080/454 is 10/33142

Least Common Multiple of 73,454 with GCF Formula

Least Common Multiple of 73,454 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 73,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,454) = 1

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

GCF(73,454) x common factors =1 x 1 = 1

LCM(73,454) = ( 73 × 454 ) / 1

LCM(73,454) = 33142 / 1

LCM(73,454) = 33142


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 3690/73, 3080/454

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 3690/73, 3080/454?

Answer: GCF of Numerators as per given numbers 3690/73, 3080/454 is

GCF of Numerators i.e. for 3690,3080 is 10

LCM of denominators i.e. for 73,454 is 33142.

Thus, GCF of Fractions is 10/33142.Finally, GCF of Fractions for 3690/73, 3080/454 is 10/33142.