GCD of 39, 453, 114, 962 Calculator

Given Input numbers are 39, 453, 114, 962

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

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 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 39, 453, 114, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 453, 114, 962 is 1.

Therefore, GCD of numbers 39, 453, 114, 962 is 1

Given Input Data is 39, 453, 114, 962

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 453 is 3 x 151

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 962 is 2 x 13 x 37

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(39, 453) = 5889

GCD(39, 453) = ( 39 x 453 ) / 5889

GCD(39, 453) = 17667 / 5889

GCD(39, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 114

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

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

GCD(3, 114) = 342 / 114

GCD(3, 114) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 962

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

LCM(3, 962) = 2886

GCD(3, 962) = ( 3 x 962 ) / 2886

GCD(3, 962) = 2886 / 2886

GCD(3, 962) = 1

GCD of 39, 453, 114, 962 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 985, 411, 592
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• GCD of 56, 520, 247, 303
• GCD of 33, 629, 412, 909
• GCD of 70, 703, 612, 723

1. What is the GCD of 39, 453, 114, 962?

GCD of 39, 453, 114, 962 is 1

2. Where do I get the detailed procedure to find GCD of 39, 453, 114, 962?

You can find a detailed procedure to find GCD of 39, 453, 114, 962 on our page.

3. How to find GCD of 39, 453, 114, 962 on a calculator?

You can find the GCD of 39, 453, 114, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.