GCD of 455, 470, 74 Calculator

Given Input numbers are 455, 470, 74

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

Divisors of 455

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

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 74

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

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 455, 470, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 470, 74 is 1.

Therefore, GCD of numbers 455, 470, 74 is 1

Given Input Data is 455, 470, 74

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 74 is 2 x 37

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(455, 470) = 42770

GCD(455, 470) = ( 455 x 470 ) / 42770

GCD(455, 470) = 213850 / 42770

GCD(455, 470) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 74

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

LCM(5, 74) = 370

GCD(5, 74) = ( 5 x 74 ) / 370

GCD(5, 74) = 370 / 370

GCD(5, 74) = 1

GCD of 455, 470, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 908, 27
• GCD of 912, 808, 55
• GCD of 738, 513, 76
• GCD of 374, 925, 64
• GCD of 860, 616, 36

1. What is the GCD of 455, 470, 74?

GCD of 455, 470, 74 is 1

2. Where do I get the detailed procedure to find GCD of 455, 470, 74?

You can find a detailed procedure to find GCD of 455, 470, 74 on our page.

3. How to find GCD of 455, 470, 74 on a calculator?

You can find the GCD of 455, 470, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.