GCD of 35, 35, 90, 65 Calculator

Given Input numbers are 35, 35, 90, 65

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 35

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

1, 5, 7, 35

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 35, 35, 90, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 35, 90, 65 is 5.

Therefore, GCD of numbers 35, 35, 90, 65 is 5

Given Input Data is 35, 35, 90, 65

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 35 is 5 x 7

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

Prime Factorization of 65 is 5 x 13

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 35) = 35

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

GCD(35, 35) = 1225 / 35

GCD(35, 35) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 90

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

LCM(35, 90) = 630

GCD(35, 90) = ( 35 x 90 ) / 630

GCD(35, 90) = 3150 / 630

GCD(35, 90) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 65

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

LCM(5, 65) = 65

GCD(5, 65) = ( 5 x 65 ) / 65

GCD(5, 65) = 325 / 65

GCD(5, 65) = 5

GCD of 35, 35, 90, 65 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 20, 27, 13
• GCD of 28, 44, 65, 31
• GCD of 37, 28, 30, 47
• GCD of 27, 96, 34, 72
• GCD of 24, 31, 42, 69

1. What is the GCD of 35, 35, 90, 65?

GCD of 35, 35, 90, 65 is 5

2. Where do I get the detailed procedure to find GCD of 35, 35, 90, 65?

You can find a detailed procedure to find GCD of 35, 35, 90, 65 on our page.

3. How to find GCD of 35, 35, 90, 65 on a calculator?

You can find the GCD of 35, 35, 90, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.