GCD of 964, 708, 409, 842 Calculator

Given Input numbers are 964, 708, 409, 842

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 964, 708, 409, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 708, 409, 842 is 1.

Therefore, GCD of numbers 964, 708, 409, 842 is 1

Given Input Data is 964, 708, 409, 842

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 409 is 409

Prime Factorization of 842 is 2 x 421

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(964, 708) = 170628

GCD(964, 708) = ( 964 x 708 ) / 170628

GCD(964, 708) = 682512 / 170628

GCD(964, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 409

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

LCM(4, 409) = 1636

GCD(4, 409) = ( 4 x 409 ) / 1636

GCD(4, 409) = 1636 / 1636

GCD(4, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 964, 708, 409, 842 is 1

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1. What is the GCD of 964, 708, 409, 842?

GCD of 964, 708, 409, 842 is 1

2. Where do I get the detailed procedure to find GCD of 964, 708, 409, 842?

You can find a detailed procedure to find GCD of 964, 708, 409, 842 on our page.

3. How to find GCD of 964, 708, 409, 842 on a calculator?

You can find the GCD of 964, 708, 409, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.