GCD of 34, 86, 79, 90 Calculator

Given Input numbers are 34, 86, 79, 90

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Greatest Common Divisior

We found the divisors of 34, 86, 79, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 86, 79, 90 is 1.

Therefore, GCD of numbers 34, 86, 79, 90 is 1

Given Input Data is 34, 86, 79, 90

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 86 is 2 x 43

Prime Factorization of 79 is 79

Prime Factorization of 90 is 2 x 3 x 3 x 5

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(34, 86) = 1462

GCD(34, 86) = ( 34 x 86 ) / 1462

GCD(34, 86) = 2924 / 1462

GCD(34, 86) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

GCD of 34, 86, 79, 90 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 66, 96, 53
• GCD of 20, 94, 36, 50
• GCD of 99, 69, 66, 63
• GCD of 67, 72, 79, 43
• GCD of 64, 50, 24, 31

1. What is the GCD of 34, 86, 79, 90?

GCD of 34, 86, 79, 90 is 1

2. Where do I get the detailed procedure to find GCD of 34, 86, 79, 90?

You can find a detailed procedure to find GCD of 34, 86, 79, 90 on our page.

3. How to find GCD of 34, 86, 79, 90 on a calculator?

You can find the GCD of 34, 86, 79, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.