GCD of 590, 435, 120, 407 Calculator

Given Input numbers are 590, 435, 120, 407

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 590, 435, 120, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 435, 120, 407 is 1.

Therefore, GCD of numbers 590, 435, 120, 407 is 1

Given Input Data is 590, 435, 120, 407

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 407 is 11 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(590, 435) = 51330

GCD(590, 435) = ( 590 x 435 ) / 51330

GCD(590, 435) = 256650 / 51330

GCD(590, 435) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 120

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

LCM(5, 120) = 120

GCD(5, 120) = ( 5 x 120 ) / 120

GCD(5, 120) = 600 / 120

GCD(5, 120) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 407

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

LCM(5, 407) = 2035

GCD(5, 407) = ( 5 x 407 ) / 2035

GCD(5, 407) = 2035 / 2035

GCD(5, 407) = 1

GCD of 590, 435, 120, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 920, 223, 748
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• GCD of 377, 426, 203, 531

1. What is the GCD of 590, 435, 120, 407?

GCD of 590, 435, 120, 407 is 1

2. Where do I get the detailed procedure to find GCD of 590, 435, 120, 407?

You can find a detailed procedure to find GCD of 590, 435, 120, 407 on our page.

3. How to find GCD of 590, 435, 120, 407 on a calculator?

You can find the GCD of 590, 435, 120, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.