Greatest Common Factor of 3365/390, 2052/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3365/390, 2052/785

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 3365/390,2052/785

Given fractions are 3365/390,2052/785

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 3365,2052

Greatest Common Factor of Numerators i.e. GCF of 3365,2052 is 1 .

LCM of Denominators means LCM of 390,785 as per the given fractions.

LCM of 390,785 is 61230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3365,2052

GCF of Fractions 3365/390,2052/785 is 1/61230

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3365,2052 By Matching Biggest Common Factor Method

Greatest Common Factor of 3365,2052 By Matching Biggest Common Factor Method

Factors of 3365

List of positive integer factors of 3365 that divides 3365 without a remainder.

1,5,673,3365

Factors of 2052

List of positive integer factors of 2052 that divides 2052 without a remainder.

1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,108,114,171,228,342,513,684,1026,2052

Greatest Common Factor

We found the factors 3365,2052 . The biggest common factor number is the GCF number.
So the greatest common factor 3365,2052 is 1.

Lets's calculate LCM of 390,785

5 390, 785
78, 157

∴ So the LCM of the given numbers is 5 x 78 x 157 = 61230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61230

Therefore, the GCF of Fractions 3365/390,2052/785 is 1/61230

Least Common Multiple of 390,785 with GCF Formula

Least Common Multiple of 390,785 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 390,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,785) = 5

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

GCF(390,785) x common factors =5 x 1 = 5

LCM(390,785) = ( 390 × 785 ) / 5

LCM(390,785) = 306150 / 5

LCM(390,785) = 61230


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 3365/390, 2052/785

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 3365/390, 2052/785?

Answer: GCF of Numerators as per given numbers 3365/390, 2052/785 is

GCF of Numerators i.e. for 3365,2052 is 1

LCM of denominators i.e. for 390,785 is 61230.

Thus, GCF of Fractions is 1/61230.Finally, GCF of Fractions for 3365/390, 2052/785 is 1/61230.