GCD of 74, 205, 473, 132 Calculator

Given Input numbers are 74, 205, 473, 132

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 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

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

Greatest Common Divisior

We found the divisors of 74, 205, 473, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 205, 473, 132 is 1.

Therefore, GCD of numbers 74, 205, 473, 132 is 1

Given Input Data is 74, 205, 473, 132

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 205 is 5 x 41

Prime Factorization of 473 is 11 x 43

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

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, 205) = 15170

GCD(74, 205) = ( 74 x 205 ) / 15170

GCD(74, 205) = 15170 / 15170

GCD(74, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 74, 205, 473, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 339, 194, 812
• GCD of 35, 408, 772, 859
• GCD of 11, 379, 454, 147
• GCD of 16, 377, 715, 249
• GCD of 30, 972, 527, 828

1. What is the GCD of 74, 205, 473, 132?

GCD of 74, 205, 473, 132 is 1

2. Where do I get the detailed procedure to find GCD of 74, 205, 473, 132?

You can find a detailed procedure to find GCD of 74, 205, 473, 132 on our page.

3. How to find GCD of 74, 205, 473, 132 on a calculator?

You can find the GCD of 74, 205, 473, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.