GCD of 164, 504, 351 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 164, 504, 351 i.e. 1 largest integer that divides all the numbers equally.

GCD of 164, 504, 351 is 1

GCD(164, 504, 351) = 1

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

GCD of

GCD of numbers 164, 504, 351 is 1

GCD(164, 504, 351) = 1

GCD of 164,504,351 Calculator

GCDof 164,504,351 is 1

Given Input numbers are 164, 504, 351

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 164, 504, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 504, 351 is 1.

Therefore, GCD of numbers 164, 504, 351 is 1

Finding GCD of 164, 504, 351 using Prime Factorization

Given Input Data is 164, 504, 351

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Finding GCD of 164, 504, 351 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(164, 504) = 20664

GCD(164, 504) = ( 164 x 504 ) / 20664

GCD(164, 504) = 82656 / 20664

GCD(164, 504) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 351

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

LCM(4, 351) = 1404

GCD(4, 351) = ( 4 x 351 ) / 1404

GCD(4, 351) = 1404 / 1404

GCD(4, 351) = 1

GCD of 164, 504, 351 is 1

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FAQs on GCD of numbers 164, 504, 351

1. What is the GCD of 164, 504, 351?

GCD of 164, 504, 351 is 1

2. Where do I get the detailed procedure to find GCD of 164, 504, 351?

You can find a detailed procedure to find GCD of 164, 504, 351 on our page.

3. How to find GCD of 164, 504, 351 on a calculator?

You can find the GCD of 164, 504, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.