GCD of 423, 174, 661 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 423, 174, 661 i.e. 1 largest integer that divides all the numbers equally.

GCD of 423, 174, 661 is 1

GCD(423, 174, 661) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 423, 174, 661 is 1

GCD(423, 174, 661) = 1

GCD of 423,174,661 Calculator

GCDof 423,174,661 is 1

Given Input numbers are 423, 174, 661

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 423

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

1, 3, 9, 47, 141, 423

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 423, 174, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 174, 661 is 1.

Therefore, GCD of numbers 423, 174, 661 is 1

Finding GCD of 423, 174, 661 using Prime Factorization

Given Input Data is 423, 174, 661

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 661 is 661

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 423, 174, 661 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(423, 174) = 24534

GCD(423, 174) = ( 423 x 174 ) / 24534

GCD(423, 174) = 73602 / 24534

GCD(423, 174) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 661

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 661) = 1983

GCD(3, 661) = ( 3 x 661 ) / 1983

GCD(3, 661) = 1983 / 1983

GCD(3, 661) = 1

GCD of 423, 174, 661 is 1

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FAQs on GCD of numbers 423, 174, 661

1. What is the GCD of 423, 174, 661?

GCD of 423, 174, 661 is 1

2. Where do I get the detailed procedure to find GCD of 423, 174, 661?

You can find a detailed procedure to find GCD of 423, 174, 661 on our page.

3. How to find GCD of 423, 174, 661 on a calculator?

You can find the GCD of 423, 174, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.