GCD of 159, 908, 85, 735 Calculator

Given Input numbers are 159, 908, 85, 735

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 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 159, 908, 85, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 908, 85, 735 is 1.

Therefore, GCD of numbers 159, 908, 85, 735 is 1

Given Input Data is 159, 908, 85, 735

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 85 is 5 x 17

Prime Factorization of 735 is 3 x 5 x 7 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, 908) = 144372

GCD(159, 908) = ( 159 x 908 ) / 144372

GCD(159, 908) = 144372 / 144372

GCD(159, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 159, 908, 85, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 165, 24, 433
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• GCD of 416, 994, 85, 361
• GCD of 345, 536, 83, 795
• GCD of 688, 142, 95, 668

1. What is the GCD of 159, 908, 85, 735?

GCD of 159, 908, 85, 735 is 1

2. Where do I get the detailed procedure to find GCD of 159, 908, 85, 735?

You can find a detailed procedure to find GCD of 159, 908, 85, 735 on our page.

3. How to find GCD of 159, 908, 85, 735 on a calculator?

You can find the GCD of 159, 908, 85, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.