GCD of 971, 300, 38, 554 Calculator

Given Input numbers are 971, 300, 38, 554

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 971, 300, 38, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 300, 38, 554 is 1.

Therefore, GCD of numbers 971, 300, 38, 554 is 1

Given Input Data is 971, 300, 38, 554

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

Prime Factorization of 971 is 971

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 38 is 2 x 19

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(971, 300) = 291300

GCD(971, 300) = ( 971 x 300 ) / 291300

GCD(971, 300) = 291300 / 291300

GCD(971, 300) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 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 971, 300, 38, 554 is 1

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1. What is the GCD of 971, 300, 38, 554?

GCD of 971, 300, 38, 554 is 1

2. Where do I get the detailed procedure to find GCD of 971, 300, 38, 554?

You can find a detailed procedure to find GCD of 971, 300, 38, 554 on our page.

3. How to find GCD of 971, 300, 38, 554 on a calculator?

You can find the GCD of 971, 300, 38, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.