GCD of 970, 531, 648, 213 Calculator

Given Input numbers are 970, 531, 648, 213

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 213

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

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 970, 531, 648, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 531, 648, 213 is 1.

Therefore, GCD of numbers 970, 531, 648, 213 is 1

Given Input Data is 970, 531, 648, 213

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 213 is 3 x 71

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(970, 531) = 515070

GCD(970, 531) = ( 970 x 531 ) / 515070

GCD(970, 531) = 515070 / 515070

GCD(970, 531) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 970, 531, 648, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 709, 930, 299
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• GCD of 357, 171, 416, 603

1. What is the GCD of 970, 531, 648, 213?

GCD of 970, 531, 648, 213 is 1

2. Where do I get the detailed procedure to find GCD of 970, 531, 648, 213?

You can find a detailed procedure to find GCD of 970, 531, 648, 213 on our page.

3. How to find GCD of 970, 531, 648, 213 on a calculator?

You can find the GCD of 970, 531, 648, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.