GCD of 74, 132, 213, 455 Calculator

Given Input numbers are 74, 132, 213, 455

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 213

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

1, 3, 71, 213

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 74, 132, 213, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 132, 213, 455 is 1.

Therefore, GCD of numbers 74, 132, 213, 455 is 1

Given Input Data is 74, 132, 213, 455

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 213 is 3 x 71

Prime Factorization of 455 is 5 x 7 x 13

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(74, 132) = 4884

GCD(74, 132) = ( 74 x 132 ) / 4884

GCD(74, 132) = 9768 / 4884

GCD(74, 132) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

GCD of 74, 132, 213, 455 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 330, 615, 758
• GCD of 51, 726, 675, 114
• GCD of 54, 212, 928, 970
• GCD of 45, 354, 229, 609
• GCD of 88, 543, 416, 891

1. What is the GCD of 74, 132, 213, 455?

GCD of 74, 132, 213, 455 is 1

2. Where do I get the detailed procedure to find GCD of 74, 132, 213, 455?

You can find a detailed procedure to find GCD of 74, 132, 213, 455 on our page.

3. How to find GCD of 74, 132, 213, 455 on a calculator?

You can find the GCD of 74, 132, 213, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.