GCD of 601, 648, 58, 916 Calculator

Given Input numbers are 601, 648, 58, 916

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

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 58

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

1, 2, 29, 58

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 601, 648, 58, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 601, 648, 58, 916 is 1.

Therefore, GCD of numbers 601, 648, 58, 916 is 1

Given Input Data is 601, 648, 58, 916

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

Prime Factorization of 601 is 601

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 58 is 2 x 29

Prime Factorization of 916 is 2 x 2 x 229

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(601, 648) = 389448

GCD(601, 648) = ( 601 x 648 ) / 389448

GCD(601, 648) = 389448 / 389448

GCD(601, 648) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 601, 648, 58, 916 is 1

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• GCD of 636, 548, 12, 301
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1. What is the GCD of 601, 648, 58, 916?

GCD of 601, 648, 58, 916 is 1

2. Where do I get the detailed procedure to find GCD of 601, 648, 58, 916?

You can find a detailed procedure to find GCD of 601, 648, 58, 916 on our page.

3. How to find GCD of 601, 648, 58, 916 on a calculator?

You can find the GCD of 601, 648, 58, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.