GCD of 530, 785, 14, 970 Calculator

Given Input numbers are 530, 785, 14, 970

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

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 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 530, 785, 14, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 785, 14, 970 is 1.

Therefore, GCD of numbers 530, 785, 14, 970 is 1

Given Input Data is 530, 785, 14, 970

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 785 is 5 x 157

Prime Factorization of 14 is 2 x 7

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(530, 785) = 83210

GCD(530, 785) = ( 530 x 785 ) / 83210

GCD(530, 785) = 416050 / 83210

GCD(530, 785) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 14

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

LCM(5, 14) = 70

GCD(5, 14) = ( 5 x 14 ) / 70

GCD(5, 14) = 70 / 70

GCD(5, 14) = 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 530, 785, 14, 970 is 1

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1. What is the GCD of 530, 785, 14, 970?

GCD of 530, 785, 14, 970 is 1

2. Where do I get the detailed procedure to find GCD of 530, 785, 14, 970?

You can find a detailed procedure to find GCD of 530, 785, 14, 970 on our page.

3. How to find GCD of 530, 785, 14, 970 on a calculator?

You can find the GCD of 530, 785, 14, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.