GCD of 58, 69, 40, 56 Calculator

Given Input numbers are 58, 69, 40, 56

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 58, 69, 40, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 69, 40, 56 is 1.

Therefore, GCD of numbers 58, 69, 40, 56 is 1

Given Input Data is 58, 69, 40, 56

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 69 is 3 x 23

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 56 is 2 x 2 x 2 x 7

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, 69) = 4002

GCD(58, 69) = ( 58 x 69 ) / 4002

GCD(58, 69) = 4002 / 4002

GCD(58, 69) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 58, 69, 40, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 76, 54, 91
• GCD of 21, 46, 61, 48
• GCD of 66, 96, 55, 18
• GCD of 20, 91, 84, 23
• GCD of 23, 65, 72, 22

1. What is the GCD of 58, 69, 40, 56?

GCD of 58, 69, 40, 56 is 1

2. Where do I get the detailed procedure to find GCD of 58, 69, 40, 56?

You can find a detailed procedure to find GCD of 58, 69, 40, 56 on our page.

3. How to find GCD of 58, 69, 40, 56 on a calculator?

You can find the GCD of 58, 69, 40, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.