GCD of 991, 283, 335, 524 Calculator

Given Input numbers are 991, 283, 335, 524

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 991, 283, 335, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 283, 335, 524 is 1.

Therefore, GCD of numbers 991, 283, 335, 524 is 1

Given Input Data is 991, 283, 335, 524

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

Prime Factorization of 991 is 991

Prime Factorization of 283 is 283

Prime Factorization of 335 is 5 x 67

Prime Factorization of 524 is 2 x 2 x 131

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(991, 283) = 280453

GCD(991, 283) = ( 991 x 283 ) / 280453

GCD(991, 283) = 280453 / 280453

GCD(991, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 991, 283, 335, 524 is 1

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1. What is the GCD of 991, 283, 335, 524?

GCD of 991, 283, 335, 524 is 1

2. Where do I get the detailed procedure to find GCD of 991, 283, 335, 524?

You can find a detailed procedure to find GCD of 991, 283, 335, 524 on our page.

3. How to find GCD of 991, 283, 335, 524 on a calculator?

You can find the GCD of 991, 283, 335, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.