GCD of 559, 968, 58, 788 Calculator

Given Input numbers are 559, 968, 58, 788

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 58

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

1, 2, 29, 58

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 559, 968, 58, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 968, 58, 788 is 1.

Therefore, GCD of numbers 559, 968, 58, 788 is 1

Given Input Data is 559, 968, 58, 788

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 58 is 2 x 29

Prime Factorization of 788 is 2 x 2 x 197

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(559, 968) = 541112

GCD(559, 968) = ( 559 x 968 ) / 541112

GCD(559, 968) = 541112 / 541112

GCD(559, 968) = 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 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 559, 968, 58, 788 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 152, 59, 973
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• GCD of 686, 713, 99, 545
• GCD of 913, 131, 48, 717

1. What is the GCD of 559, 968, 58, 788?

GCD of 559, 968, 58, 788 is 1

2. Where do I get the detailed procedure to find GCD of 559, 968, 58, 788?

You can find a detailed procedure to find GCD of 559, 968, 58, 788 on our page.

3. How to find GCD of 559, 968, 58, 788 on a calculator?

You can find the GCD of 559, 968, 58, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.