Greatest Common Factor of 487/462, 7227/1765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/462, 7227/1765

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 487/462,7227/1765

Given fractions are 487/462,7227/1765

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 487,7227

Greatest Common Factor of Numerators i.e. GCF of 487,7227 is 1 .

LCM of Denominators means LCM of 462,1765 as per the given fractions.

LCM of 462,1765 is 815430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,7227

GCF of Fractions 487/462,7227/1765 is 1/815430

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

Greatest Common Factor of 487,7227 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,7227 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 7227

List of positive integer factors of 7227 that divides 7227 without a remainder.

1,3,9,11,33,73,99,219,657,803,2409,7227

Greatest Common Factor

We found the factors 487,7227 . The biggest common factor number is the GCF number.
So the greatest common factor 487,7227 is 1.

Lets's calculate LCM of 462,1765

Given numbers has no common factors except 1. So, there LCM is their product i.e 815430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/815430

Therefore, the GCF of Fractions 487/462,7227/1765 is 1/815430

Least Common Multiple of 462,1765 with GCF Formula

Least Common Multiple of 462,1765 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 462,1765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,1765) = 1

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

GCF(462,1765) x common factors =1 x 1 = 1

LCM(462,1765) = ( 462 × 1765 ) / 1

LCM(462,1765) = 815430 / 1

LCM(462,1765) = 815430


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 487/462, 7227/1765

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 487/462, 7227/1765?

Answer: GCF of Numerators as per given numbers 487/462, 7227/1765 is

GCF of Numerators i.e. for 487,7227 is 1

LCM of denominators i.e. for 462,1765 is 815430.

Thus, GCF of Fractions is 1/815430.Finally, GCF of Fractions for 487/462, 7227/1765 is 1/815430.