Greatest Common Factor of 345/40, 7406/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 345/40, 7406/615

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 345/40,7406/615

Given fractions are 345/40,7406/615

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 345,7406

Greatest Common Factor of Numerators i.e. GCF of 345,7406 is 23 .

LCM of Denominators means LCM of 40,615 as per the given fractions.

LCM of 40,615 is 4920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 345,7406

GCF of Fractions 345/40,7406/615 is 23/4920

23 345, 7406
15, 322

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 345,7406 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,7406 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 7406

List of positive integer factors of 7406 that divides 7406 without a remainder.

1,2,7,14,23,46,161,322,529,1058,3703,7406

Greatest Common Factor

We found the factors 345,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 345,7406 is 23.

Lets's calculate LCM of 40,615

5 40, 615
8, 123

∴ So the LCM of the given numbers is 5 x 8 x 123 = 4920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/4920

Therefore, the GCF of Fractions 345/40,7406/615 is 23/4920

Least Common Multiple of 40,615 with GCF Formula

Least Common Multiple of 40,615 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 40,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,615) = 5

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

GCF(40,615) x common factors =5 x 1 = 5

LCM(40,615) = ( 40 × 615 ) / 5

LCM(40,615) = 24600 / 5

LCM(40,615) = 4920


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 345/40, 7406/615

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 345/40, 7406/615?

Answer: GCF of Numerators as per given numbers 345/40, 7406/615 is

GCF of Numerators i.e. for 345,7406 is 23

LCM of denominators i.e. for 40,615 is 4920.

Thus, GCF of Fractions is 23/4920.Finally, GCF of Fractions for 345/40, 7406/615 is 23/4920.