GCD of 781, 212, 840, 216 Calculator

Given Input numbers are 781, 212, 840, 216

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

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 781, 212, 840, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 781, 212, 840, 216 is 1.

Therefore, GCD of numbers 781, 212, 840, 216 is 1

Given Input Data is 781, 212, 840, 216

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

Prime Factorization of 781 is 11 x 71

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 840 is 2 x 2 x 2 x 3 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(781, 212) = 165572

GCD(781, 212) = ( 781 x 212 ) / 165572

GCD(781, 212) = 165572 / 165572

GCD(781, 212) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 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 781, 212, 840, 216 is 1

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1. What is the GCD of 781, 212, 840, 216?

GCD of 781, 212, 840, 216 is 1

2. Where do I get the detailed procedure to find GCD of 781, 212, 840, 216?

You can find a detailed procedure to find GCD of 781, 212, 840, 216 on our page.

3. How to find GCD of 781, 212, 840, 216 on a calculator?

You can find the GCD of 781, 212, 840, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.