GCD of 612, 678, 17, 236 Calculator

Given Input numbers are 612, 678, 17, 236

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 612, 678, 17, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 678, 17, 236 is 1.

Therefore, GCD of numbers 612, 678, 17, 236 is 1

Given Input Data is 612, 678, 17, 236

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 17 is 17

Prime Factorization of 236 is 2 x 2 x 59

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(612, 678) = 69156

GCD(612, 678) = ( 612 x 678 ) / 69156

GCD(612, 678) = 414936 / 69156

GCD(612, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 17

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

LCM(6, 17) = 102

GCD(6, 17) = ( 6 x 17 ) / 102

GCD(6, 17) = 102 / 102

GCD(6, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 236

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

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

GCD(1, 236) = 236 / 236

GCD(1, 236) = 1

GCD of 612, 678, 17, 236 is 1

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• GCD of 187, 122, 69, 549
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• GCD of 980, 736, 73, 975

1. What is the GCD of 612, 678, 17, 236?

GCD of 612, 678, 17, 236 is 1

2. Where do I get the detailed procedure to find GCD of 612, 678, 17, 236?

You can find a detailed procedure to find GCD of 612, 678, 17, 236 on our page.

3. How to find GCD of 612, 678, 17, 236 on a calculator?

You can find the GCD of 612, 678, 17, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.