GCD of 38, 992, 776, 331 Calculator

Given Input numbers are 38, 992, 776, 331

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 38, 992, 776, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 992, 776, 331 is 1.

Therefore, GCD of numbers 38, 992, 776, 331 is 1

Given Input Data is 38, 992, 776, 331

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 331 is 331

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, 992) = 18848

GCD(38, 992) = ( 38 x 992 ) / 18848

GCD(38, 992) = 37696 / 18848

GCD(38, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 776

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

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

GCD(2, 776) = 1552 / 776

GCD(2, 776) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 331

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

LCM(2, 331) = 662

GCD(2, 331) = ( 2 x 331 ) / 662

GCD(2, 331) = 662 / 662

GCD(2, 331) = 1

GCD of 38, 992, 776, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 107, 276, 197
• GCD of 84, 151, 509, 834
• GCD of 93, 275, 553, 863
• GCD of 47, 448, 954, 444
• GCD of 10, 483, 770, 533

1. What is the GCD of 38, 992, 776, 331?

GCD of 38, 992, 776, 331 is 1

2. Where do I get the detailed procedure to find GCD of 38, 992, 776, 331?

You can find a detailed procedure to find GCD of 38, 992, 776, 331 on our page.

3. How to find GCD of 38, 992, 776, 331 on a calculator?

You can find the GCD of 38, 992, 776, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.