GCD of 805, 420, 70, 216 Calculator

Given Input numbers are 805, 420, 70, 216

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 805, 420, 70, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 420, 70, 216 is 1.

Therefore, GCD of numbers 805, 420, 70, 216 is 1

Given Input Data is 805, 420, 70, 216

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 70 is 2 x 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(805, 420) = 9660

GCD(805, 420) = ( 805 x 420 ) / 9660

GCD(805, 420) = 338100 / 9660

GCD(805, 420) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 70

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

LCM(35, 70) = 70

GCD(35, 70) = ( 35 x 70 ) / 70

GCD(35, 70) = 2450 / 70

GCD(35, 70) = 35

Step3:

Here we consider the GCD from the above i.e. 35 as first number and the next as 216

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

LCM(35, 216) = 7560

GCD(35, 216) = ( 35 x 216 ) / 7560

GCD(35, 216) = 7560 / 7560

GCD(35, 216) = 1

GCD of 805, 420, 70, 216 is 1

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1. What is the GCD of 805, 420, 70, 216?

GCD of 805, 420, 70, 216 is 1

2. Where do I get the detailed procedure to find GCD of 805, 420, 70, 216?

You can find a detailed procedure to find GCD of 805, 420, 70, 216 on our page.

3. How to find GCD of 805, 420, 70, 216 on a calculator?

You can find the GCD of 805, 420, 70, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.