GCD of 961, 974, 164, 335 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 961, 974, 164, 335 i.e. 1 largest integer that divides all the numbers equally.

GCD of 961, 974, 164, 335 is 1

GCD(961, 974, 164, 335) = 1

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

GCD of

GCD of numbers 961, 974, 164, 335 is 1

GCD(961, 974, 164, 335) = 1

GCD of 961,974,164,335 Calculator

GCDof 961,974,164,335 is 1

Given Input numbers are 961, 974, 164, 335

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 961, 974, 164, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 974, 164, 335 is 1.

Therefore, GCD of numbers 961, 974, 164, 335 is 1

Finding GCD of 961, 974, 164, 335 using Prime Factorization

Given Input Data is 961, 974, 164, 335

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 974 is 2 x 487

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 335 is 5 x 67

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

Finding GCD of 961, 974, 164, 335 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(961, 974) = 936014

GCD(961, 974) = ( 961 x 974 ) / 936014

GCD(961, 974) = 936014 / 936014

GCD(961, 974) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

GCD of 961, 974, 164, 335 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 961, 974, 164, 335

1. What is the GCD of 961, 974, 164, 335?

GCD of 961, 974, 164, 335 is 1


2. Where do I get the detailed procedure to find GCD of 961, 974, 164, 335?

You can find a detailed procedure to find GCD of 961, 974, 164, 335 on our page.


3. How to find GCD of 961, 974, 164, 335 on a calculator?

You can find the GCD of 961, 974, 164, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.