GCD of 213, 301, 846, 764 Calculator

Given Input numbers are 213, 301, 846, 764

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 213, 301, 846, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 301, 846, 764 is 1.

Therefore, GCD of numbers 213, 301, 846, 764 is 1

Given Input Data is 213, 301, 846, 764

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 301 is 7 x 43

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 764 is 2 x 2 x 191

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, 301) = 64113

GCD(213, 301) = ( 213 x 301 ) / 64113

GCD(213, 301) = 64113 / 64113

GCD(213, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 213, 301, 846, 764 is 1

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1. What is the GCD of 213, 301, 846, 764?

GCD of 213, 301, 846, 764 is 1

2. Where do I get the detailed procedure to find GCD of 213, 301, 846, 764?

You can find a detailed procedure to find GCD of 213, 301, 846, 764 on our page.

3. How to find GCD of 213, 301, 846, 764 on a calculator?

You can find the GCD of 213, 301, 846, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.