GCD of 199, 525, 356, 988 Calculator

Given Input numbers are 199, 525, 356, 988

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 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 199, 525, 356, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 525, 356, 988 is 1.

Therefore, GCD of numbers 199, 525, 356, 988 is 1

Given Input Data is 199, 525, 356, 988

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

Prime Factorization of 199 is 199

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 988 is 2 x 2 x 13 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, 525) = 104475

GCD(199, 525) = ( 199 x 525 ) / 104475

GCD(199, 525) = 104475 / 104475

GCD(199, 525) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 199, 525, 356, 988 is 1

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• GCD of 313, 953, 310, 959
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1. What is the GCD of 199, 525, 356, 988?

GCD of 199, 525, 356, 988 is 1

2. Where do I get the detailed procedure to find GCD of 199, 525, 356, 988?

You can find a detailed procedure to find GCD of 199, 525, 356, 988 on our page.

3. How to find GCD of 199, 525, 356, 988 on a calculator?

You can find the GCD of 199, 525, 356, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.