GCD of 735, 213, 365, 996 Calculator

Given Input numbers are 735, 213, 365, 996

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 213

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

1, 3, 71, 213

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 735, 213, 365, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 213, 365, 996 is 1.

Therefore, GCD of numbers 735, 213, 365, 996 is 1

Given Input Data is 735, 213, 365, 996

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 213 is 3 x 71

Prime Factorization of 365 is 5 x 73

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(735, 213) = 52185

GCD(735, 213) = ( 735 x 213 ) / 52185

GCD(735, 213) = 156555 / 52185

GCD(735, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 365

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

LCM(3, 365) = 1095

GCD(3, 365) = ( 3 x 365 ) / 1095

GCD(3, 365) = 1095 / 1095

GCD(3, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 735, 213, 365, 996 is 1

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• GCD of 118, 928, 251, 187
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1. What is the GCD of 735, 213, 365, 996?

GCD of 735, 213, 365, 996 is 1

2. Where do I get the detailed procedure to find GCD of 735, 213, 365, 996?

You can find a detailed procedure to find GCD of 735, 213, 365, 996 on our page.

3. How to find GCD of 735, 213, 365, 996 on a calculator?

You can find the GCD of 735, 213, 365, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.