GCD of 642, 942, 16, 791 Calculator

Given Input numbers are 642, 942, 16, 791

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 642, 942, 16, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 942, 16, 791 is 1.

Therefore, GCD of numbers 642, 942, 16, 791 is 1

Given Input Data is 642, 942, 16, 791

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 791 is 7 x 113

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(642, 942) = 100794

GCD(642, 942) = ( 642 x 942 ) / 100794

GCD(642, 942) = 604764 / 100794

GCD(642, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 791

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

LCM(2, 791) = 1582

GCD(2, 791) = ( 2 x 791 ) / 1582

GCD(2, 791) = 1582 / 1582

GCD(2, 791) = 1

GCD of 642, 942, 16, 791 is 1

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1. What is the GCD of 642, 942, 16, 791?

GCD of 642, 942, 16, 791 is 1

2. Where do I get the detailed procedure to find GCD of 642, 942, 16, 791?

You can find a detailed procedure to find GCD of 642, 942, 16, 791 on our page.

3. How to find GCD of 642, 942, 16, 791 on a calculator?

You can find the GCD of 642, 942, 16, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.