GCD of 107, 299, 612, 651 Calculator

Given Input numbers are 107, 299, 612, 651

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 107, 299, 612, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 299, 612, 651 is 1.

Therefore, GCD of numbers 107, 299, 612, 651 is 1

Given Input Data is 107, 299, 612, 651

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

Prime Factorization of 107 is 107

Prime Factorization of 299 is 13 x 23

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

Prime Factorization of 651 is 3 x 7 x 31

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(107, 299) = 31993

GCD(107, 299) = ( 107 x 299 ) / 31993

GCD(107, 299) = 31993 / 31993

GCD(107, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

GCD of 107, 299, 612, 651 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 852, 784, 959
• GCD of 451, 957, 409, 606
• GCD of 698, 876, 161, 118
• GCD of 671, 603, 433, 837
• GCD of 606, 820, 228, 257

1. What is the GCD of 107, 299, 612, 651?

GCD of 107, 299, 612, 651 is 1

2. Where do I get the detailed procedure to find GCD of 107, 299, 612, 651?

You can find a detailed procedure to find GCD of 107, 299, 612, 651 on our page.

3. How to find GCD of 107, 299, 612, 651 on a calculator?

You can find the GCD of 107, 299, 612, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.