GCD of 38, 578, 974, 253 Calculator

Given Input numbers are 38, 578, 974, 253

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 38, 578, 974, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 578, 974, 253 is 1.

Therefore, GCD of numbers 38, 578, 974, 253 is 1

Given Input Data is 38, 578, 974, 253

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 974 is 2 x 487

Prime Factorization of 253 is 11 x 23

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(38, 578) = 10982

GCD(38, 578) = ( 38 x 578 ) / 10982

GCD(38, 578) = 21964 / 10982

GCD(38, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

GCD of 38, 578, 974, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 832, 803, 234
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• GCD of 20, 340, 439, 807
• GCD of 47, 737, 331, 699
• GCD of 30, 934, 522, 518

1. What is the GCD of 38, 578, 974, 253?

GCD of 38, 578, 974, 253 is 1

2. Where do I get the detailed procedure to find GCD of 38, 578, 974, 253?

You can find a detailed procedure to find GCD of 38, 578, 974, 253 on our page.

3. How to find GCD of 38, 578, 974, 253 on a calculator?

You can find the GCD of 38, 578, 974, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.