GCD of 653, 856, 659, 897 Calculator

Given Input numbers are 653, 856, 659, 897

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 653, 856, 659, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 856, 659, 897 is 1.

Therefore, GCD of numbers 653, 856, 659, 897 is 1

Given Input Data is 653, 856, 659, 897

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

Prime Factorization of 653 is 653

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 659 is 659

Prime Factorization of 897 is 3 x 13 x 23

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(653, 856) = 558968

GCD(653, 856) = ( 653 x 856 ) / 558968

GCD(653, 856) = 558968 / 558968

GCD(653, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 653, 856, 659, 897 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 653, 856, 659, 897?

GCD of 653, 856, 659, 897 is 1

2. Where do I get the detailed procedure to find GCD of 653, 856, 659, 897?

You can find a detailed procedure to find GCD of 653, 856, 659, 897 on our page.

3. How to find GCD of 653, 856, 659, 897 on a calculator?

You can find the GCD of 653, 856, 659, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.