GCD of 218, 749, 12, 758 Calculator

Given Input numbers are 218, 749, 12, 758

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 218, 749, 12, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 749, 12, 758 is 1.

Therefore, GCD of numbers 218, 749, 12, 758 is 1

Given Input Data is 218, 749, 12, 758

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 749 is 7 x 107

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 758 is 2 x 379

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(218, 749) = 163282

GCD(218, 749) = ( 218 x 749 ) / 163282

GCD(218, 749) = 163282 / 163282

GCD(218, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 218, 749, 12, 758 is 1

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1. What is the GCD of 218, 749, 12, 758?

GCD of 218, 749, 12, 758 is 1

2. Where do I get the detailed procedure to find GCD of 218, 749, 12, 758?

You can find a detailed procedure to find GCD of 218, 749, 12, 758 on our page.

3. How to find GCD of 218, 749, 12, 758 on a calculator?

You can find the GCD of 218, 749, 12, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.