GCD of 756, 890, 219 Calculator

Given Input numbers are 756, 890, 219

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 756, 890, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 890, 219 is 1.

Therefore, GCD of numbers 756, 890, 219 is 1

Given Input Data is 756, 890, 219

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 219 is 3 x 73

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(756, 890) = 336420

GCD(756, 890) = ( 756 x 890 ) / 336420

GCD(756, 890) = 672840 / 336420

GCD(756, 890) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 219

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

LCM(2, 219) = 438

GCD(2, 219) = ( 2 x 219 ) / 438

GCD(2, 219) = 438 / 438

GCD(2, 219) = 1

GCD of 756, 890, 219 is 1

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1. What is the GCD of 756, 890, 219?

GCD of 756, 890, 219 is 1

2. Where do I get the detailed procedure to find GCD of 756, 890, 219?

You can find a detailed procedure to find GCD of 756, 890, 219 on our page.

3. How to find GCD of 756, 890, 219 on a calculator?

You can find the GCD of 756, 890, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.