GCD of 530, 542, 971, 206 Calculator

Given Input numbers are 530, 542, 971, 206

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 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 530, 542, 971, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 542, 971, 206 is 1.

Therefore, GCD of numbers 530, 542, 971, 206 is 1

Given Input Data is 530, 542, 971, 206

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 542 is 2 x 271

Prime Factorization of 971 is 971

Prime Factorization of 206 is 2 x 103

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, 542) = 143630

GCD(530, 542) = ( 530 x 542 ) / 143630

GCD(530, 542) = 287260 / 143630

GCD(530, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 530, 542, 971, 206 is 1

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• GCD of 186, 490, 993, 294
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• GCD of 897, 357, 499, 650

1. What is the GCD of 530, 542, 971, 206?

GCD of 530, 542, 971, 206 is 1

2. Where do I get the detailed procedure to find GCD of 530, 542, 971, 206?

You can find a detailed procedure to find GCD of 530, 542, 971, 206 on our page.

3. How to find GCD of 530, 542, 971, 206 on a calculator?

You can find the GCD of 530, 542, 971, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.