GCD of 820, 611, 35, 216 Calculator

Given Input numbers are 820, 611, 35, 216

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 35

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

1, 5, 7, 35

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 820, 611, 35, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 611, 35, 216 is 1.

Therefore, GCD of numbers 820, 611, 35, 216 is 1

Given Input Data is 820, 611, 35, 216

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 611 is 13 x 47

Prime Factorization of 35 is 5 x 7

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(820, 611) = 501020

GCD(820, 611) = ( 820 x 611 ) / 501020

GCD(820, 611) = 501020 / 501020

GCD(820, 611) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 820, 611, 35, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 798, 82, 117
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• GCD of 968, 912, 37, 215
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• GCD of 898, 827, 32, 973

1. What is the GCD of 820, 611, 35, 216?

GCD of 820, 611, 35, 216 is 1

2. Where do I get the detailed procedure to find GCD of 820, 611, 35, 216?

You can find a detailed procedure to find GCD of 820, 611, 35, 216 on our page.

3. How to find GCD of 820, 611, 35, 216 on a calculator?

You can find the GCD of 820, 611, 35, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.