GCD of 480, 592, 61, 421 Calculator

Given Input numbers are 480, 592, 61, 421

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

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 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 480, 592, 61, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 592, 61, 421 is 1.

Therefore, GCD of numbers 480, 592, 61, 421 is 1

Given Input Data is 480, 592, 61, 421

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

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 61 is 61

Prime Factorization of 421 is 421

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(480, 592) = 17760

GCD(480, 592) = ( 480 x 592 ) / 17760

GCD(480, 592) = 284160 / 17760

GCD(480, 592) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 61

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

LCM(16, 61) = 976

GCD(16, 61) = ( 16 x 61 ) / 976

GCD(16, 61) = 976 / 976

GCD(16, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 480, 592, 61, 421 is 1

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• GCD of 887, 791, 86, 775
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• GCD of 395, 431, 57, 622

1. What is the GCD of 480, 592, 61, 421?

GCD of 480, 592, 61, 421 is 1

2. Where do I get the detailed procedure to find GCD of 480, 592, 61, 421?

You can find a detailed procedure to find GCD of 480, 592, 61, 421 on our page.

3. How to find GCD of 480, 592, 61, 421 on a calculator?

You can find the GCD of 480, 592, 61, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.