GCD of 730, 213, 71, 632 Calculator

Given Input numbers are 730, 213, 71, 632

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 213

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

1, 3, 71, 213

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 730, 213, 71, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 213, 71, 632 is 1.

Therefore, GCD of numbers 730, 213, 71, 632 is 1

Given Input Data is 730, 213, 71, 632

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 213 is 3 x 71

Prime Factorization of 71 is 71

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(730, 213) = 155490

GCD(730, 213) = ( 730 x 213 ) / 155490

GCD(730, 213) = 155490 / 155490

GCD(730, 213) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 730, 213, 71, 632 is 1

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1. What is the GCD of 730, 213, 71, 632?

GCD of 730, 213, 71, 632 is 1

2. Where do I get the detailed procedure to find GCD of 730, 213, 71, 632?

You can find a detailed procedure to find GCD of 730, 213, 71, 632 on our page.

3. How to find GCD of 730, 213, 71, 632 on a calculator?

You can find the GCD of 730, 213, 71, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.