Greatest Common Factor of 427/39, 413/8060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 427/39, 413/8060

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 427/39,413/8060

Given fractions are 427/39,413/8060

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 427,413

Greatest Common Factor of Numerators i.e. GCF of 427,413 is 7 .

LCM of Denominators means LCM of 39,8060 as per the given fractions.

LCM of 39,8060 is 24180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 427,413

GCF of Fractions 427/39,413/8060 is 7/24180

7 427, 413
61, 59

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 427,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,413 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 427,413 . The biggest common factor number is the GCF number.
So the greatest common factor 427,413 is 7.

Lets's calculate LCM of 39,8060

13 39, 8060
3, 620

∴ So the LCM of the given numbers is 13 x 3 x 620 = 24180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/24180

Therefore, the GCF of Fractions 427/39,413/8060 is 7/24180

Least Common Multiple of 39,8060 with GCF Formula

Least Common Multiple of 39,8060 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 39,8060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,8060) = 13

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

GCF(39,8060) x common factors =13 x 1 = 13

LCM(39,8060) = ( 39 × 8060 ) / 13

LCM(39,8060) = 314340 / 13

LCM(39,8060) = 24180


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 427/39, 413/8060

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 427/39, 413/8060?

Answer: GCF of Numerators as per given numbers 427/39, 413/8060 is

GCF of Numerators i.e. for 427,413 is 7

LCM of denominators i.e. for 39,8060 is 24180.

Thus, GCF of Fractions is 7/24180.Finally, GCF of Fractions for 427/39, 413/8060 is 7/24180.