Greatest Common Factor of 489/417, 519/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 489/417, 519/427

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 489/417,519/427

Given fractions are 489/417,519/427

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 489,519

Greatest Common Factor of Numerators i.e. GCF of 489,519 is 3 .

LCM of Denominators means LCM of 417,427 as per the given fractions.

LCM of 417,427 is 178059 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 489,519

GCF of Fractions 489/417,519/427 is 3/178059

3 489, 519
163, 173

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 489,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,519 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 489,519 . The biggest common factor number is the GCF number.
So the greatest common factor 489,519 is 3.

Lets's calculate LCM of 417,427

Given numbers has no common factors except 1. So, there LCM is their product i.e 178059

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/178059

Therefore, the GCF of Fractions 489/417,519/427 is 3/178059

Least Common Multiple of 417,427 with GCF Formula

Least Common Multiple of 417,427 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 417,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,427) = 1

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

GCF(417,427) x common factors =1 x 1 = 1

LCM(417,427) = ( 417 × 427 ) / 1

LCM(417,427) = 178059 / 1

LCM(417,427) = 178059


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 489/417, 519/427

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 489/417, 519/427?

Answer: GCF of Numerators as per given numbers 489/417, 519/427 is

GCF of Numerators i.e. for 489,519 is 3

LCM of denominators i.e. for 417,427 is 178059.

Thus, GCF of Fractions is 3/178059.Finally, GCF of Fractions for 489/417, 519/427 is 3/178059.