GCD of 966, 149, 562, 508 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 966, 149, 562, 508 i.e. 1 largest integer that divides all the numbers equally.

GCD of 966, 149, 562, 508 is 1

GCD(966, 149, 562, 508) = 1

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

GCD of

GCD of numbers 966, 149, 562, 508 is 1

GCD(966, 149, 562, 508) = 1

GCD of 966,149,562,508 Calculator

GCDof 966,149,562,508 is 1

Given Input numbers are 966, 149, 562, 508

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 966, 149, 562, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 149, 562, 508 is 1.

Therefore, GCD of numbers 966, 149, 562, 508 is 1

Finding GCD of 966, 149, 562, 508 using Prime Factorization

Given Input Data is 966, 149, 562, 508

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 149 is 149

Prime Factorization of 562 is 2 x 281

Prime Factorization of 508 is 2 x 2 x 127

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

Finding GCD of 966, 149, 562, 508 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(966, 149) = 143934

GCD(966, 149) = ( 966 x 149 ) / 143934

GCD(966, 149) = 143934 / 143934

GCD(966, 149) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 966, 149, 562, 508 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 966, 149, 562, 508

1. What is the GCD of 966, 149, 562, 508?

GCD of 966, 149, 562, 508 is 1


2. Where do I get the detailed procedure to find GCD of 966, 149, 562, 508?

You can find a detailed procedure to find GCD of 966, 149, 562, 508 on our page.


3. How to find GCD of 966, 149, 562, 508 on a calculator?

You can find the GCD of 966, 149, 562, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.