GCD of 213, 412, 134, 465 Calculator

Given Input numbers are 213, 412, 134, 465

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 213, 412, 134, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 412, 134, 465 is 1.

Therefore, GCD of numbers 213, 412, 134, 465 is 1

Given Input Data is 213, 412, 134, 465

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 134 is 2 x 67

Prime Factorization of 465 is 3 x 5 x 31

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, 412) = 87756

GCD(213, 412) = ( 213 x 412 ) / 87756

GCD(213, 412) = 87756 / 87756

GCD(213, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 213, 412, 134, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 797, 278, 132
• GCD of 349, 310, 842, 895
• GCD of 658, 154, 663, 502
• GCD of 895, 293, 392, 744
• GCD of 155, 987, 997, 253

1. What is the GCD of 213, 412, 134, 465?

GCD of 213, 412, 134, 465 is 1

2. Where do I get the detailed procedure to find GCD of 213, 412, 134, 465?

You can find a detailed procedure to find GCD of 213, 412, 134, 465 on our page.

3. How to find GCD of 213, 412, 134, 465 on a calculator?

You can find the GCD of 213, 412, 134, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.