Greatest Common Factor of 390/412, 3675/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/412, 3675/662

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 390/412,3675/662

Given fractions are 390/412,3675/662

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 390,3675

Greatest Common Factor of Numerators i.e. GCF of 390,3675 is 15 .

LCM of Denominators means LCM of 412,662 as per the given fractions.

LCM of 412,662 is 136372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,3675

GCF of Fractions 390/412,3675/662 is 15/136372

3 390, 3675
5 130, 1225
26, 245

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 390,3675 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,3675 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675

Greatest Common Factor

We found the factors 390,3675 . The biggest common factor number is the GCF number.
So the greatest common factor 390,3675 is 15.

Lets's calculate LCM of 412,662

2 412, 662
206, 331

∴ So the LCM of the given numbers is 2 x 206 x 331 = 136372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/136372

Therefore, the GCF of Fractions 390/412,3675/662 is 15/136372

Least Common Multiple of 412,662 with GCF Formula

Least Common Multiple of 412,662 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 412,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,662) = 2

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

GCF(412,662) x common factors =2 x 1 = 2

LCM(412,662) = ( 412 × 662 ) / 2

LCM(412,662) = 272744 / 2

LCM(412,662) = 136372


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 390/412, 3675/662

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 390/412, 3675/662?

Answer: GCF of Numerators as per given numbers 390/412, 3675/662 is

GCF of Numerators i.e. for 390,3675 is 15

LCM of denominators i.e. for 412,662 is 136372.

Thus, GCF of Fractions is 15/136372.Finally, GCF of Fractions for 390/412, 3675/662 is 15/136372.