GCD of 69, 84, 79, 59 Calculator

Given Input numbers are 69, 84, 79, 59

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

Divisors of 69

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

1, 3, 23, 69

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 69, 84, 79, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 84, 79, 59 is 1.

Therefore, GCD of numbers 69, 84, 79, 59 is 1

Given Input Data is 69, 84, 79, 59

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 79 is 79

Prime Factorization of 59 is 59

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(69, 84) = 1932

GCD(69, 84) = ( 69 x 84 ) / 1932

GCD(69, 84) = 5796 / 1932

GCD(69, 84) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 79

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

LCM(3, 79) = 237

GCD(3, 79) = ( 3 x 79 ) / 237

GCD(3, 79) = 237 / 237

GCD(3, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

GCD of 69, 84, 79, 59 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 65, 80, 74
• GCD of 30, 38, 93, 41
• GCD of 23, 82, 10, 61
• GCD of 75, 58, 64, 55
• GCD of 82, 25, 60, 31

1. What is the GCD of 69, 84, 79, 59?

GCD of 69, 84, 79, 59 is 1

2. Where do I get the detailed procedure to find GCD of 69, 84, 79, 59?

You can find a detailed procedure to find GCD of 69, 84, 79, 59 on our page.

3. How to find GCD of 69, 84, 79, 59 on a calculator?

You can find the GCD of 69, 84, 79, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.