GCD of 58, 106, 236, 693 Calculator

Given Input numbers are 58, 106, 236, 693

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 58, 106, 236, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 106, 236, 693 is 1.

Therefore, GCD of numbers 58, 106, 236, 693 is 1

Given Input Data is 58, 106, 236, 693

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 106 is 2 x 53

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 693 is 3 x 3 x 7 x 11

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, 106) = 3074

GCD(58, 106) = ( 58 x 106 ) / 3074

GCD(58, 106) = 6148 / 3074

GCD(58, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 236

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

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

GCD(2, 236) = 472 / 236

GCD(2, 236) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

GCD of 58, 106, 236, 693 is 1

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• GCD of 31, 129, 882, 979
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1. What is the GCD of 58, 106, 236, 693?

GCD of 58, 106, 236, 693 is 1

2. Where do I get the detailed procedure to find GCD of 58, 106, 236, 693?

You can find a detailed procedure to find GCD of 58, 106, 236, 693 on our page.

3. How to find GCD of 58, 106, 236, 693 on a calculator?

You can find the GCD of 58, 106, 236, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.