GCD of 159, 738, 851, 698 Calculator

Given Input numbers are 159, 738, 851, 698

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 159, 738, 851, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 738, 851, 698 is 1.

Therefore, GCD of numbers 159, 738, 851, 698 is 1

Given Input Data is 159, 738, 851, 698

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 851 is 23 x 37

Prime Factorization of 698 is 2 x 349

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, 738) = 39114

GCD(159, 738) = ( 159 x 738 ) / 39114

GCD(159, 738) = 117342 / 39114

GCD(159, 738) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 851

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

LCM(3, 851) = 2553

GCD(3, 851) = ( 3 x 851 ) / 2553

GCD(3, 851) = 2553 / 2553

GCD(3, 851) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 159, 738, 851, 698 is 1

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1. What is the GCD of 159, 738, 851, 698?

GCD of 159, 738, 851, 698 is 1

2. Where do I get the detailed procedure to find GCD of 159, 738, 851, 698?

You can find a detailed procedure to find GCD of 159, 738, 851, 698 on our page.

3. How to find GCD of 159, 738, 851, 698 on a calculator?

You can find the GCD of 159, 738, 851, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.