GCD of 69, 785, 159, 290 Calculator

Given Input numbers are 69, 785, 159, 290

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 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 69, 785, 159, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 785, 159, 290 is 1.

Therefore, GCD of numbers 69, 785, 159, 290 is 1

Given Input Data is 69, 785, 159, 290

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 785 is 5 x 157

Prime Factorization of 159 is 3 x 53

Prime Factorization of 290 is 2 x 5 x 29

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, 785) = 54165

GCD(69, 785) = ( 69 x 785 ) / 54165

GCD(69, 785) = 54165 / 54165

GCD(69, 785) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 69, 785, 159, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 575, 741, 223
• GCD of 65, 100, 687, 538
• GCD of 93, 415, 598, 913
• GCD of 90, 855, 347, 477
• GCD of 69, 609, 760, 712

1. What is the GCD of 69, 785, 159, 290?

GCD of 69, 785, 159, 290 is 1

2. Where do I get the detailed procedure to find GCD of 69, 785, 159, 290?

You can find a detailed procedure to find GCD of 69, 785, 159, 290 on our page.

3. How to find GCD of 69, 785, 159, 290 on a calculator?

You can find the GCD of 69, 785, 159, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.