GCD of 159, 931, 23, 840 Calculator

Given Input numbers are 159, 931, 23, 840

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

Divisors of 159

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

1, 3, 53, 159

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 159, 931, 23, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 931, 23, 840 is 1.

Therefore, GCD of numbers 159, 931, 23, 840 is 1

Given Input Data is 159, 931, 23, 840

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 23 is 23

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 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(159, 931) = 148029

GCD(159, 931) = ( 159 x 931 ) / 148029

GCD(159, 931) = 148029 / 148029

GCD(159, 931) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 159, 931, 23, 840 is 1

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1. What is the GCD of 159, 931, 23, 840?

GCD of 159, 931, 23, 840 is 1

2. Where do I get the detailed procedure to find GCD of 159, 931, 23, 840?

You can find a detailed procedure to find GCD of 159, 931, 23, 840 on our page.

3. How to find GCD of 159, 931, 23, 840 on a calculator?

You can find the GCD of 159, 931, 23, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.