GCD of 966, 583, 689, 736 Calculator

Given Input numbers are 966, 583, 689, 736

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 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 966, 583, 689, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 583, 689, 736 is 1.

Therefore, GCD of numbers 966, 583, 689, 736 is 1

Given Input Data is 966, 583, 689, 736

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 583 is 11 x 53

Prime Factorization of 689 is 13 x 53

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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

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, 583) = 563178

GCD(966, 583) = ( 966 x 583 ) / 563178

GCD(966, 583) = 563178 / 563178

GCD(966, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 966, 583, 689, 736 is 1

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1. What is the GCD of 966, 583, 689, 736?

GCD of 966, 583, 689, 736 is 1

2. Where do I get the detailed procedure to find GCD of 966, 583, 689, 736?

You can find a detailed procedure to find GCD of 966, 583, 689, 736 on our page.

3. How to find GCD of 966, 583, 689, 736 on a calculator?

You can find the GCD of 966, 583, 689, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.