Greatest Common Factor of 390/785, 1986/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/785, 1986/290

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 390/785,1986/290

Given fractions are 390/785,1986/290

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 390,1986

Greatest Common Factor of Numerators i.e. GCF of 390,1986 is 6 .

LCM of Denominators means LCM of 785,290 as per the given fractions.

LCM of 785,290 is 45530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,1986

GCF of Fractions 390/785,1986/290 is 6/45530

2 390, 1986
3 195, 993
65, 331

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

Greatest Common Factor of 390,1986 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,1986 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 1986

List of positive integer factors of 1986 that divides 1986 without a remainder.

1,2,3,6,331,662,993,1986

Greatest Common Factor

We found the factors 390,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 390,1986 is 6.

Lets's calculate LCM of 785,290

5 785, 290
157, 58

∴ So the LCM of the given numbers is 5 x 157 x 58 = 45530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/45530

Therefore, the GCF of Fractions 390/785,1986/290 is 6/45530

Least Common Multiple of 785,290 with GCF Formula

Least Common Multiple of 785,290 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 785,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,290) = 5

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

GCF(785,290) x common factors =5 x 1 = 5

LCM(785,290) = ( 785 × 290 ) / 5

LCM(785,290) = 227650 / 5

LCM(785,290) = 45530


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 390/785, 1986/290

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 390/785, 1986/290?

Answer: GCF of Numerators as per given numbers 390/785, 1986/290 is

GCF of Numerators i.e. for 390,1986 is 6

LCM of denominators i.e. for 785,290 is 45530.

Thus, GCF of Fractions is 6/45530.Finally, GCF of Fractions for 390/785, 1986/290 is 6/45530.