GCD of 21, 35, 82, 67 Calculator

Given Input numbers are 21, 35, 82, 67

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 35

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

1, 5, 7, 35

Divisors of 82

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

1, 2, 41, 82

Divisors of 67

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

1, 67

Greatest Common Divisior

We found the divisors of 21, 35, 82, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 35, 82, 67 is 1.

Therefore, GCD of numbers 21, 35, 82, 67 is 1

Given Input Data is 21, 35, 82, 67

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 35 is 5 x 7

Prime Factorization of 82 is 2 x 41

Prime Factorization of 67 is 67

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(21, 35) = 105

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

GCD(21, 35) = 735 / 105

GCD(21, 35) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 82

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

LCM(7, 82) = 574

GCD(7, 82) = ( 7 x 82 ) / 574

GCD(7, 82) = 574 / 574

GCD(7, 82) = 1

Step3:

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

GCD of 21, 35, 82, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 44, 97, 50
• GCD of 86, 93, 76, 60
• GCD of 12, 38, 14, 40
• GCD of 27, 77, 77, 87
• GCD of 93, 72, 49, 33

1. What is the GCD of 21, 35, 82, 67?

GCD of 21, 35, 82, 67 is 1

2. Where do I get the detailed procedure to find GCD of 21, 35, 82, 67?

You can find a detailed procedure to find GCD of 21, 35, 82, 67 on our page.

3. How to find GCD of 21, 35, 82, 67 on a calculator?

You can find the GCD of 21, 35, 82, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.