GCD of 132, 926, 16, 759 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 132, 926, 16, 759 i.e. 1 largest integer that divides all the numbers equally.

GCD of 132, 926, 16, 759 is 1

GCD(132, 926, 16, 759) = 1

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

GCD of

GCD of numbers 132, 926, 16, 759 is 1

GCD(132, 926, 16, 759) = 1

GCD of 132,926,16,759 Calculator

GCDof 132,926,16,759 is 1

Given Input numbers are 132, 926, 16, 759

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 132, 926, 16, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 926, 16, 759 is 1.

Therefore, GCD of numbers 132, 926, 16, 759 is 1

Finding GCD of 132, 926, 16, 759 using Prime Factorization

Given Input Data is 132, 926, 16, 759

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 926 is 2 x 463

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 759 is 3 x 11 x 23

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

Finding GCD of 132, 926, 16, 759 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(132, 926) = 61116

GCD(132, 926) = ( 132 x 926 ) / 61116

GCD(132, 926) = 122232 / 61116

GCD(132, 926) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

GCD of 132, 926, 16, 759 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 132, 926, 16, 759

1. What is the GCD of 132, 926, 16, 759?

GCD of 132, 926, 16, 759 is 1


2. Where do I get the detailed procedure to find GCD of 132, 926, 16, 759?

You can find a detailed procedure to find GCD of 132, 926, 16, 759 on our page.


3. How to find GCD of 132, 926, 16, 759 on a calculator?

You can find the GCD of 132, 926, 16, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.