GCD of 159, 107, 51, 687 Calculator

Given Input numbers are 159, 107, 51, 687

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 159, 107, 51, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 107, 51, 687 is 1.

Therefore, GCD of numbers 159, 107, 51, 687 is 1

Given Input Data is 159, 107, 51, 687

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 107 is 107

Prime Factorization of 51 is 3 x 17

Prime Factorization of 687 is 3 x 229

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, 107) = 17013

GCD(159, 107) = ( 159 x 107 ) / 17013

GCD(159, 107) = 17013 / 17013

GCD(159, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 159, 107, 51, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 175, 12, 552
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• GCD of 865, 742, 57, 904
• GCD of 660, 673, 47, 940
• GCD of 374, 106, 22, 797

1. What is the GCD of 159, 107, 51, 687?

GCD of 159, 107, 51, 687 is 1

2. Where do I get the detailed procedure to find GCD of 159, 107, 51, 687?

You can find a detailed procedure to find GCD of 159, 107, 51, 687 on our page.

3. How to find GCD of 159, 107, 51, 687 on a calculator?

You can find the GCD of 159, 107, 51, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.