GCD of 59, 530, 470, 698 Calculator

Given Input numbers are 59, 530, 470, 698

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 59, 530, 470, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 530, 470, 698 is 1.

Therefore, GCD of numbers 59, 530, 470, 698 is 1

Given Input Data is 59, 530, 470, 698

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

Prime Factorization of 59 is 59

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 698 is 2 x 349

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(59, 530) = 31270

GCD(59, 530) = ( 59 x 530 ) / 31270

GCD(59, 530) = 31270 / 31270

GCD(59, 530) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 59, 530, 470, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 925, 811, 928
• GCD of 53, 997, 392, 425
• GCD of 86, 300, 746, 269
• GCD of 31, 565, 536, 947
• GCD of 85, 579, 235, 168

1. What is the GCD of 59, 530, 470, 698?

GCD of 59, 530, 470, 698 is 1

2. Where do I get the detailed procedure to find GCD of 59, 530, 470, 698?

You can find a detailed procedure to find GCD of 59, 530, 470, 698 on our page.

3. How to find GCD of 59, 530, 470, 698 on a calculator?

You can find the GCD of 59, 530, 470, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.