GCD of 465, 605, 48, 580 Calculator

Given Input numbers are 465, 605, 48, 580

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 465, 605, 48, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 605, 48, 580 is 1.

Therefore, GCD of numbers 465, 605, 48, 580 is 1

Given Input Data is 465, 605, 48, 580

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(465, 605) = 56265

GCD(465, 605) = ( 465 x 605 ) / 56265

GCD(465, 605) = 281325 / 56265

GCD(465, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 48

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

LCM(5, 48) = 240

GCD(5, 48) = ( 5 x 48 ) / 240

GCD(5, 48) = 240 / 240

GCD(5, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 465, 605, 48, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 765, 40, 357
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• GCD of 246, 546, 60, 653

1. What is the GCD of 465, 605, 48, 580?

GCD of 465, 605, 48, 580 is 1

2. Where do I get the detailed procedure to find GCD of 465, 605, 48, 580?

You can find a detailed procedure to find GCD of 465, 605, 48, 580 on our page.

3. How to find GCD of 465, 605, 48, 580 on a calculator?

You can find the GCD of 465, 605, 48, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.