GCD of 207, 699, 526, 107 Calculator

Given Input numbers are 207, 699, 526, 107

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 107

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

1, 107

Greatest Common Divisior

We found the divisors of 207, 699, 526, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 699, 526, 107 is 1.

Therefore, GCD of numbers 207, 699, 526, 107 is 1

Given Input Data is 207, 699, 526, 107

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 699 is 3 x 233

Prime Factorization of 526 is 2 x 263

Prime Factorization of 107 is 107

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, 699) = 48231

GCD(207, 699) = ( 207 x 699 ) / 48231

GCD(207, 699) = 144693 / 48231

GCD(207, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 526

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

LCM(3, 526) = 1578

GCD(3, 526) = ( 3 x 526 ) / 1578

GCD(3, 526) = 1578 / 1578

GCD(3, 526) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 207, 699, 526, 107 is 1

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1. What is the GCD of 207, 699, 526, 107?

GCD of 207, 699, 526, 107 is 1

2. Where do I get the detailed procedure to find GCD of 207, 699, 526, 107?

You can find a detailed procedure to find GCD of 207, 699, 526, 107 on our page.

3. How to find GCD of 207, 699, 526, 107 on a calculator?

You can find the GCD of 207, 699, 526, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.