GCD of 996, 762, 330, 959 Calculator

Given Input numbers are 996, 762, 330, 959

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 996, 762, 330, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 762, 330, 959 is 1.

Therefore, GCD of numbers 996, 762, 330, 959 is 1

Given Input Data is 996, 762, 330, 959

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 959 is 7 x 137

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(996, 762) = 126492

GCD(996, 762) = ( 996 x 762 ) / 126492

GCD(996, 762) = 758952 / 126492

GCD(996, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 330

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

LCM(6, 330) = 330

GCD(6, 330) = ( 6 x 330 ) / 330

GCD(6, 330) = 1980 / 330

GCD(6, 330) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 959

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

LCM(6, 959) = 5754

GCD(6, 959) = ( 6 x 959 ) / 5754

GCD(6, 959) = 5754 / 5754

GCD(6, 959) = 1

GCD of 996, 762, 330, 959 is 1

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1. What is the GCD of 996, 762, 330, 959?

GCD of 996, 762, 330, 959 is 1

2. Where do I get the detailed procedure to find GCD of 996, 762, 330, 959?

You can find a detailed procedure to find GCD of 996, 762, 330, 959 on our page.

3. How to find GCD of 996, 762, 330, 959 on a calculator?

You can find the GCD of 996, 762, 330, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.