GCD of 135, 415, 784, 470 Calculator

Given Input numbers are 135, 415, 784, 470

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 470

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

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

Greatest Common Divisior

We found the divisors of 135, 415, 784, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 415, 784, 470 is 1.

Therefore, GCD of numbers 135, 415, 784, 470 is 1

Given Input Data is 135, 415, 784, 470

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 415 is 5 x 83

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 470 is 2 x 5 x 47

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(135, 415) = 11205

GCD(135, 415) = ( 135 x 415 ) / 11205

GCD(135, 415) = 56025 / 11205

GCD(135, 415) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 784

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

LCM(5, 784) = 3920

GCD(5, 784) = ( 5 x 784 ) / 3920

GCD(5, 784) = 3920 / 3920

GCD(5, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 135, 415, 784, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 303, 431, 578
• GCD of 159, 585, 978, 651
• GCD of 211, 368, 155, 976
• GCD of 223, 322, 341, 855
• GCD of 165, 506, 162, 128

1. What is the GCD of 135, 415, 784, 470?

GCD of 135, 415, 784, 470 is 1

2. Where do I get the detailed procedure to find GCD of 135, 415, 784, 470?

You can find a detailed procedure to find GCD of 135, 415, 784, 470 on our page.

3. How to find GCD of 135, 415, 784, 470 on a calculator?

You can find the GCD of 135, 415, 784, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.