GCD of 89, 802, 159, 949 Calculator

Given Input numbers are 89, 802, 159, 949

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 159

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

1, 3, 53, 159

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 89, 802, 159, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 802, 159, 949 is 1.

Therefore, GCD of numbers 89, 802, 159, 949 is 1

Given Input Data is 89, 802, 159, 949

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

Prime Factorization of 89 is 89

Prime Factorization of 802 is 2 x 401

Prime Factorization of 159 is 3 x 53

Prime Factorization of 949 is 13 x 73

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(89, 802) = 71378

GCD(89, 802) = ( 89 x 802 ) / 71378

GCD(89, 802) = 71378 / 71378

GCD(89, 802) = 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 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 89, 802, 159, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 258, 891, 949
• GCD of 89, 387, 383, 176
• GCD of 67, 330, 713, 993
• GCD of 91, 397, 799, 654
• GCD of 20, 339, 609, 609

1. What is the GCD of 89, 802, 159, 949?

GCD of 89, 802, 159, 949 is 1

2. Where do I get the detailed procedure to find GCD of 89, 802, 159, 949?

You can find a detailed procedure to find GCD of 89, 802, 159, 949 on our page.

3. How to find GCD of 89, 802, 159, 949 on a calculator?

You can find the GCD of 89, 802, 159, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.