GCD of 108, 155, 67, 659 Calculator

Given Input numbers are 108, 155, 67, 659

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 108, 155, 67, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 155, 67, 659 is 1.

Therefore, GCD of numbers 108, 155, 67, 659 is 1

Given Input Data is 108, 155, 67, 659

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 155 is 5 x 31

Prime Factorization of 67 is 67

Prime Factorization of 659 is 659

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(108, 155) = 16740

GCD(108, 155) = ( 108 x 155 ) / 16740

GCD(108, 155) = 16740 / 16740

GCD(108, 155) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 108, 155, 67, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 318, 97, 258
• GCD of 781, 427, 76, 893
• GCD of 718, 987, 68, 123
• GCD of 324, 602, 34, 768
• GCD of 704, 686, 72, 826

1. What is the GCD of 108, 155, 67, 659?

GCD of 108, 155, 67, 659 is 1

2. Where do I get the detailed procedure to find GCD of 108, 155, 67, 659?

You can find a detailed procedure to find GCD of 108, 155, 67, 659 on our page.

3. How to find GCD of 108, 155, 67, 659 on a calculator?

You can find the GCD of 108, 155, 67, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.