GCD of 35, 21, 64, 82 Calculator

Given Input numbers are 35, 21, 64, 82

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 35, 21, 64, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 21, 64, 82 is 1.

Therefore, GCD of numbers 35, 21, 64, 82 is 1

Given Input Data is 35, 21, 64, 82

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 82 is 2 x 41

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, 21) = 105

GCD(35, 21) = ( 35 x 21 ) / 105

GCD(35, 21) = 735 / 105

GCD(35, 21) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 64

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

LCM(7, 64) = 448

GCD(7, 64) = ( 7 x 64 ) / 448

GCD(7, 64) = 448 / 448

GCD(7, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

GCD of 35, 21, 64, 82 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 99, 24, 30
• GCD of 20, 28, 11, 56
• GCD of 19, 78, 90, 31
• GCD of 62, 72, 40, 73
• GCD of 57, 31, 95, 86

1. What is the GCD of 35, 21, 64, 82?

GCD of 35, 21, 64, 82 is 1

2. Where do I get the detailed procedure to find GCD of 35, 21, 64, 82?

You can find a detailed procedure to find GCD of 35, 21, 64, 82 on our page.

3. How to find GCD of 35, 21, 64, 82 on a calculator?

You can find the GCD of 35, 21, 64, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.