GCD of 213, 670, 653, 584 Calculator

Given Input numbers are 213, 670, 653, 584

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 653

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

1, 653

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 213, 670, 653, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 670, 653, 584 is 1.

Therefore, GCD of numbers 213, 670, 653, 584 is 1

Given Input Data is 213, 670, 653, 584

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 653 is 653

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(213, 670) = 142710

GCD(213, 670) = ( 213 x 670 ) / 142710

GCD(213, 670) = 142710 / 142710

GCD(213, 670) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 213, 670, 653, 584 is 1

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1. What is the GCD of 213, 670, 653, 584?

GCD of 213, 670, 653, 584 is 1

2. Where do I get the detailed procedure to find GCD of 213, 670, 653, 584?

You can find a detailed procedure to find GCD of 213, 670, 653, 584 on our page.

3. How to find GCD of 213, 670, 653, 584 on a calculator?

You can find the GCD of 213, 670, 653, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.