GCD of 997, 308, 500, 554 Calculator

Given Input numbers are 997, 308, 500, 554

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 997, 308, 500, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 308, 500, 554 is 1.

Therefore, GCD of numbers 997, 308, 500, 554 is 1

Given Input Data is 997, 308, 500, 554

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

Prime Factorization of 997 is 997

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 554 is 2 x 277

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(997, 308) = 307076

GCD(997, 308) = ( 997 x 308 ) / 307076

GCD(997, 308) = 307076 / 307076

GCD(997, 308) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 997, 308, 500, 554 is 1

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• GCD of 848, 594, 206, 339
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1. What is the GCD of 997, 308, 500, 554?

GCD of 997, 308, 500, 554 is 1

2. Where do I get the detailed procedure to find GCD of 997, 308, 500, 554?

You can find a detailed procedure to find GCD of 997, 308, 500, 554 on our page.

3. How to find GCD of 997, 308, 500, 554 on a calculator?

You can find the GCD of 997, 308, 500, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.