GCD of 978, 530, 371, 354 Calculator

Given Input numbers are 978, 530, 371, 354

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 978, 530, 371, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 530, 371, 354 is 1.

Therefore, GCD of numbers 978, 530, 371, 354 is 1

Given Input Data is 978, 530, 371, 354

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 371 is 7 x 53

Prime Factorization of 354 is 2 x 3 x 59

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(978, 530) = 259170

GCD(978, 530) = ( 978 x 530 ) / 259170

GCD(978, 530) = 518340 / 259170

GCD(978, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 371

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

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

GCD(2, 371) = 742 / 742

GCD(2, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 978, 530, 371, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 596, 412, 220
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• GCD of 352, 418, 685, 320
• GCD of 951, 443, 792, 939

1. What is the GCD of 978, 530, 371, 354?

GCD of 978, 530, 371, 354 is 1

2. Where do I get the detailed procedure to find GCD of 978, 530, 371, 354?

You can find a detailed procedure to find GCD of 978, 530, 371, 354 on our page.

3. How to find GCD of 978, 530, 371, 354 on a calculator?

You can find the GCD of 978, 530, 371, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.