Greatest Common Factor of 423/607, 1645/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/607, 1645/493

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 423/607,1645/493

Given fractions are 423/607,1645/493

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 423,1645

Greatest Common Factor of Numerators i.e. GCF of 423,1645 is 47 .

LCM of Denominators means LCM of 607,493 as per the given fractions.

LCM of 607,493 is 299251 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,1645

GCF of Fractions 423/607,1645/493 is 47/299251

47 423, 1645
9, 35

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 423,1645 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,1645 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 1645

List of positive integer factors of 1645 that divides 1645 without a remainder.

1,5,7,35,47,235,329,1645

Greatest Common Factor

We found the factors 423,1645 . The biggest common factor number is the GCF number.
So the greatest common factor 423,1645 is 47.

Lets's calculate LCM of 607,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 299251

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/299251

Therefore, the GCF of Fractions 423/607,1645/493 is 47/299251

Least Common Multiple of 607,493 with GCF Formula

Least Common Multiple of 607,493 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 607,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,493) = 1

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

GCF(607,493) x common factors =1 x 1 = 1

LCM(607,493) = ( 607 × 493 ) / 1

LCM(607,493) = 299251 / 1

LCM(607,493) = 299251


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 423/607, 1645/493

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 423/607, 1645/493?

Answer: GCF of Numerators as per given numbers 423/607, 1645/493 is

GCF of Numerators i.e. for 423,1645 is 47

LCM of denominators i.e. for 607,493 is 299251.

Thus, GCF of Fractions is 47/299251.Finally, GCF of Fractions for 423/607, 1645/493 is 47/299251.