GCD of 758, 218, 12, 680 Calculator

Given Input numbers are 758, 218, 12, 680

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

Divisors of 758

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

1, 2, 379, 758

Divisors of 218

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

1, 2, 109, 218

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 758, 218, 12, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 218, 12, 680 is 2.

Therefore, GCD of numbers 758, 218, 12, 680 is 2

Given Input Data is 758, 218, 12, 680

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 218 is 2 x 109

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(758, 218) = 82622

GCD(758, 218) = ( 758 x 218 ) / 82622

GCD(758, 218) = 165244 / 82622

GCD(758, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 758, 218, 12, 680 is 2

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• GCD of 118, 906, 92, 203
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1. What is the GCD of 758, 218, 12, 680?

GCD of 758, 218, 12, 680 is 2

2. Where do I get the detailed procedure to find GCD of 758, 218, 12, 680?

You can find a detailed procedure to find GCD of 758, 218, 12, 680 on our page.

3. How to find GCD of 758, 218, 12, 680 on a calculator?

You can find the GCD of 758, 218, 12, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.