GCD of 35, 17, 90, 97 Calculator

Given Input numbers are 35, 17, 90, 97

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Greatest Common Divisior

We found the divisors of 35, 17, 90, 97 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 17, 90, 97 is 1.

Therefore, GCD of numbers 35, 17, 90, 97 is 1

Given Input Data is 35, 17, 90, 97

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 17 is 17

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

Prime Factorization of 97 is 97

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(35, 17) = 595

GCD(35, 17) = ( 35 x 17 ) / 595

GCD(35, 17) = 595 / 595

GCD(35, 17) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

GCD of 35, 17, 90, 97 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 56, 65, 29
• GCD of 68, 26, 51, 64
• GCD of 55, 55, 35, 21
• GCD of 50, 78, 19, 52
• GCD of 22, 27, 83, 45

1. What is the GCD of 35, 17, 90, 97?

GCD of 35, 17, 90, 97 is 1

2. Where do I get the detailed procedure to find GCD of 35, 17, 90, 97?

You can find a detailed procedure to find GCD of 35, 17, 90, 97 on our page.

3. How to find GCD of 35, 17, 90, 97 on a calculator?

You can find the GCD of 35, 17, 90, 97 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.