GCD of 196, 585, 74, 978 Calculator

Given Input numbers are 196, 585, 74, 978

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 978

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

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

Greatest Common Divisior

We found the divisors of 196, 585, 74, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 585, 74, 978 is 1.

Therefore, GCD of numbers 196, 585, 74, 978 is 1

Given Input Data is 196, 585, 74, 978

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 74 is 2 x 37

Prime Factorization of 978 is 2 x 3 x 163

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(196, 585) = 114660

GCD(196, 585) = ( 196 x 585 ) / 114660

GCD(196, 585) = 114660 / 114660

GCD(196, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 196, 585, 74, 978 is 1

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• GCD of 606, 365, 29, 908
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1. What is the GCD of 196, 585, 74, 978?

GCD of 196, 585, 74, 978 is 1

2. Where do I get the detailed procedure to find GCD of 196, 585, 74, 978?

You can find a detailed procedure to find GCD of 196, 585, 74, 978 on our page.

3. How to find GCD of 196, 585, 74, 978 on a calculator?

You can find the GCD of 196, 585, 74, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.