GCD of 435, 480, 58, 427 Calculator

Given Input numbers are 435, 480, 58, 427

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 435, 480, 58, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 480, 58, 427 is 1.

Therefore, GCD of numbers 435, 480, 58, 427 is 1

Given Input Data is 435, 480, 58, 427

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 58 is 2 x 29

Prime Factorization of 427 is 7 x 61

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(435, 480) = 13920

GCD(435, 480) = ( 435 x 480 ) / 13920

GCD(435, 480) = 208800 / 13920

GCD(435, 480) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 58

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

LCM(15, 58) = 870

GCD(15, 58) = ( 15 x 58 ) / 870

GCD(15, 58) = 870 / 870

GCD(15, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 435, 480, 58, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 915, 11, 625
• GCD of 319, 735, 26, 555
• GCD of 474, 674, 28, 114
• GCD of 629, 498, 44, 157
• GCD of 817, 827, 46, 455

1. What is the GCD of 435, 480, 58, 427?

GCD of 435, 480, 58, 427 is 1

2. Where do I get the detailed procedure to find GCD of 435, 480, 58, 427?

You can find a detailed procedure to find GCD of 435, 480, 58, 427 on our page.

3. How to find GCD of 435, 480, 58, 427 on a calculator?

You can find the GCD of 435, 480, 58, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.