Greatest Common Factor of 487/13, 810/4737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/13, 810/4737

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 487/13,810/4737

Given fractions are 487/13,810/4737

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 487,810

Greatest Common Factor of Numerators i.e. GCF of 487,810 is 1 .

LCM of Denominators means LCM of 13,4737 as per the given fractions.

LCM of 13,4737 is 61581 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,810

GCF of Fractions 487/13,810/4737 is 1/61581

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

Greatest Common Factor of 487,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,810 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 487,810 . The biggest common factor number is the GCF number.
So the greatest common factor 487,810 is 1.

Lets's calculate LCM of 13,4737

Given numbers has no common factors except 1. So, there LCM is their product i.e 61581

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61581

Therefore, the GCF of Fractions 487/13,810/4737 is 1/61581

Least Common Multiple of 13,4737 with GCF Formula

Least Common Multiple of 13,4737 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 13,4737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,4737) = 1

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

GCF(13,4737) x common factors =1 x 1 = 1

LCM(13,4737) = ( 13 × 4737 ) / 1

LCM(13,4737) = 61581 / 1

LCM(13,4737) = 61581


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 487/13, 810/4737

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 487/13, 810/4737?

Answer: GCF of Numerators as per given numbers 487/13, 810/4737 is

GCF of Numerators i.e. for 487,810 is 1

LCM of denominators i.e. for 13,4737 is 61581.

Thus, GCF of Fractions is 1/61581.Finally, GCF of Fractions for 487/13, 810/4737 is 1/61581.