GCD of 230, 536, 137, 699 Calculator

Given Input numbers are 230, 536, 137, 699

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 699

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

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 230, 536, 137, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 536, 137, 699 is 1.

Therefore, GCD of numbers 230, 536, 137, 699 is 1

Given Input Data is 230, 536, 137, 699

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 137 is 137

Prime Factorization of 699 is 3 x 233

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(230, 536) = 61640

GCD(230, 536) = ( 230 x 536 ) / 61640

GCD(230, 536) = 123280 / 61640

GCD(230, 536) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 137

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

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

GCD(2, 137) = 274 / 274

GCD(2, 137) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 230, 536, 137, 699 is 1

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1. What is the GCD of 230, 536, 137, 699?

GCD of 230, 536, 137, 699 is 1

2. Where do I get the detailed procedure to find GCD of 230, 536, 137, 699?

You can find a detailed procedure to find GCD of 230, 536, 137, 699 on our page.

3. How to find GCD of 230, 536, 137, 699 on a calculator?

You can find the GCD of 230, 536, 137, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.