GCD of 612, 354, 81, 649 Calculator

Given Input numbers are 612, 354, 81, 649

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 612, 354, 81, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 354, 81, 649 is 1.

Therefore, GCD of numbers 612, 354, 81, 649 is 1

Given Input Data is 612, 354, 81, 649

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 354 is 2 x 3 x 59

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 649 is 11 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, 354) = 36108

GCD(612, 354) = ( 612 x 354 ) / 36108

GCD(612, 354) = 216648 / 36108

GCD(612, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 81

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

LCM(6, 81) = 162

GCD(6, 81) = ( 6 x 81 ) / 162

GCD(6, 81) = 486 / 162

GCD(6, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 649

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

LCM(3, 649) = 1947

GCD(3, 649) = ( 3 x 649 ) / 1947

GCD(3, 649) = 1947 / 1947

GCD(3, 649) = 1

GCD of 612, 354, 81, 649 is 1

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• GCD of 643, 846, 74, 459
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1. What is the GCD of 612, 354, 81, 649?

GCD of 612, 354, 81, 649 is 1

2. Where do I get the detailed procedure to find GCD of 612, 354, 81, 649?

You can find a detailed procedure to find GCD of 612, 354, 81, 649 on our page.

3. How to find GCD of 612, 354, 81, 649 on a calculator?

You can find the GCD of 612, 354, 81, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.