GCD of 86, 530, 699, 970 Calculator

Given Input numbers are 86, 530, 699, 970

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

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 699

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

1, 3, 233, 699

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 86, 530, 699, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 530, 699, 970 is 1.

Therefore, GCD of numbers 86, 530, 699, 970 is 1

Given Input Data is 86, 530, 699, 970

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 699 is 3 x 233

Prime Factorization of 970 is 2 x 5 x 97

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(86, 530) = 22790

GCD(86, 530) = ( 86 x 530 ) / 22790

GCD(86, 530) = 45580 / 22790

GCD(86, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 86, 530, 699, 970 is 1

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1. What is the GCD of 86, 530, 699, 970?

GCD of 86, 530, 699, 970 is 1

2. Where do I get the detailed procedure to find GCD of 86, 530, 699, 970?

You can find a detailed procedure to find GCD of 86, 530, 699, 970 on our page.

3. How to find GCD of 86, 530, 699, 970 on a calculator?

You can find the GCD of 86, 530, 699, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.