GCD of 207, 918, 916, 602 Calculator

Given Input numbers are 207, 918, 916, 602

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 207, 918, 916, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 918, 916, 602 is 1.

Therefore, GCD of numbers 207, 918, 916, 602 is 1

Given Input Data is 207, 918, 916, 602

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 602 is 2 x 7 x 43

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(207, 918) = 21114

GCD(207, 918) = ( 207 x 918 ) / 21114

GCD(207, 918) = 190026 / 21114

GCD(207, 918) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 916

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

LCM(9, 916) = 8244

GCD(9, 916) = ( 9 x 916 ) / 8244

GCD(9, 916) = 8244 / 8244

GCD(9, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 207, 918, 916, 602 is 1

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1. What is the GCD of 207, 918, 916, 602?

GCD of 207, 918, 916, 602 is 1

2. Where do I get the detailed procedure to find GCD of 207, 918, 916, 602?

You can find a detailed procedure to find GCD of 207, 918, 916, 602 on our page.

3. How to find GCD of 207, 918, 916, 602 on a calculator?

You can find the GCD of 207, 918, 916, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.