GCD of 662, 114, 401, 996 Calculator

Given Input numbers are 662, 114, 401, 996

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

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

Greatest Common Divisior

We found the divisors of 662, 114, 401, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 114, 401, 996 is 1.

Therefore, GCD of numbers 662, 114, 401, 996 is 1

Given Input Data is 662, 114, 401, 996

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 401 is 401

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

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(662, 114) = 37734

GCD(662, 114) = ( 662 x 114 ) / 37734

GCD(662, 114) = 75468 / 37734

GCD(662, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 401

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

LCM(2, 401) = 802

GCD(2, 401) = ( 2 x 401 ) / 802

GCD(2, 401) = 802 / 802

GCD(2, 401) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 662, 114, 401, 996 is 1

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1. What is the GCD of 662, 114, 401, 996?

GCD of 662, 114, 401, 996 is 1

2. Where do I get the detailed procedure to find GCD of 662, 114, 401, 996?

You can find a detailed procedure to find GCD of 662, 114, 401, 996 on our page.

3. How to find GCD of 662, 114, 401, 996 on a calculator?

You can find the GCD of 662, 114, 401, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.