GCD of 859, 964, 408, 590 Calculator

Given Input numbers are 859, 964, 408, 590

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

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 859, 964, 408, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 859, 964, 408, 590 is 1.

Therefore, GCD of numbers 859, 964, 408, 590 is 1

Given Input Data is 859, 964, 408, 590

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

Prime Factorization of 859 is 859

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 590 is 2 x 5 x 59

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(859, 964) = 828076

GCD(859, 964) = ( 859 x 964 ) / 828076

GCD(859, 964) = 828076 / 828076

GCD(859, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 859, 964, 408, 590 is 1

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1. What is the GCD of 859, 964, 408, 590?

GCD of 859, 964, 408, 590 is 1

2. Where do I get the detailed procedure to find GCD of 859, 964, 408, 590?

You can find a detailed procedure to find GCD of 859, 964, 408, 590 on our page.

3. How to find GCD of 859, 964, 408, 590 on a calculator?

You can find the GCD of 859, 964, 408, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.