GCD of 845, 988, 598, 465 Calculator

Given Input numbers are 845, 988, 598, 465

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 465

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

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

Greatest Common Divisior

We found the divisors of 845, 988, 598, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 988, 598, 465 is 1.

Therefore, GCD of numbers 845, 988, 598, 465 is 1

Given Input Data is 845, 988, 598, 465

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

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 465 is 3 x 5 x 31

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(845, 988) = 64220

GCD(845, 988) = ( 845 x 988 ) / 64220

GCD(845, 988) = 834860 / 64220

GCD(845, 988) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 598

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

LCM(13, 598) = 598

GCD(13, 598) = ( 13 x 598 ) / 598

GCD(13, 598) = 7774 / 598

GCD(13, 598) = 13

Step3:

Here we consider the GCD from the above i.e. 13 as first number and the next as 465

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

LCM(13, 465) = 6045

GCD(13, 465) = ( 13 x 465 ) / 6045

GCD(13, 465) = 6045 / 6045

GCD(13, 465) = 1

GCD of 845, 988, 598, 465 is 1

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1. What is the GCD of 845, 988, 598, 465?

GCD of 845, 988, 598, 465 is 1

2. Where do I get the detailed procedure to find GCD of 845, 988, 598, 465?

You can find a detailed procedure to find GCD of 845, 988, 598, 465 on our page.

3. How to find GCD of 845, 988, 598, 465 on a calculator?

You can find the GCD of 845, 988, 598, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.