GCD of 199, 978, 88, 532 Calculator

Given Input numbers are 199, 978, 88, 532

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 199, 978, 88, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 978, 88, 532 is 1.

Therefore, GCD of numbers 199, 978, 88, 532 is 1

Given Input Data is 199, 978, 88, 532

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

Prime Factorization of 199 is 199

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(199, 978) = 194622

GCD(199, 978) = ( 199 x 978 ) / 194622

GCD(199, 978) = 194622 / 194622

GCD(199, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 199, 978, 88, 532 is 1

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1. What is the GCD of 199, 978, 88, 532?

GCD of 199, 978, 88, 532 is 1

2. Where do I get the detailed procedure to find GCD of 199, 978, 88, 532?

You can find a detailed procedure to find GCD of 199, 978, 88, 532 on our page.

3. How to find GCD of 199, 978, 88, 532 on a calculator?

You can find the GCD of 199, 978, 88, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.