GCD of 58, 376, 517, 732 Calculator

Given Input numbers are 58, 376, 517, 732

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 58, 376, 517, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 376, 517, 732 is 1.

Therefore, GCD of numbers 58, 376, 517, 732 is 1

Given Input Data is 58, 376, 517, 732

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 517 is 11 x 47

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(58, 376) = 10904

GCD(58, 376) = ( 58 x 376 ) / 10904

GCD(58, 376) = 21808 / 10904

GCD(58, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 517

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

LCM(2, 517) = 1034

GCD(2, 517) = ( 2 x 517 ) / 1034

GCD(2, 517) = 1034 / 1034

GCD(2, 517) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 58, 376, 517, 732 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 995, 910, 606
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• GCD of 15, 331, 283, 292
• GCD of 43, 509, 533, 742

1. What is the GCD of 58, 376, 517, 732?

GCD of 58, 376, 517, 732 is 1

2. Where do I get the detailed procedure to find GCD of 58, 376, 517, 732?

You can find a detailed procedure to find GCD of 58, 376, 517, 732 on our page.

3. How to find GCD of 58, 376, 517, 732 on a calculator?

You can find the GCD of 58, 376, 517, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.