GCD of 542, 996, 78, 997 Calculator

Given Input numbers are 542, 996, 78, 997

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 997

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

1, 997

Greatest Common Divisior

We found the divisors of 542, 996, 78, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 996, 78, 997 is 1.

Therefore, GCD of numbers 542, 996, 78, 997 is 1

Given Input Data is 542, 996, 78, 997

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 997 is 997

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(542, 996) = 269916

GCD(542, 996) = ( 542 x 996 ) / 269916

GCD(542, 996) = 539832 / 269916

GCD(542, 996) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 997

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

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

GCD(2, 997) = 1994 / 1994

GCD(2, 997) = 1

GCD of 542, 996, 78, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 215, 67, 436
• GCD of 483, 563, 11, 629
• GCD of 768, 786, 10, 422
• GCD of 453, 654, 23, 607
• GCD of 877, 949, 24, 348

1. What is the GCD of 542, 996, 78, 997?

GCD of 542, 996, 78, 997 is 1

2. Where do I get the detailed procedure to find GCD of 542, 996, 78, 997?

You can find a detailed procedure to find GCD of 542, 996, 78, 997 on our page.

3. How to find GCD of 542, 996, 78, 997 on a calculator?

You can find the GCD of 542, 996, 78, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.