GCD of 734, 426, 42, 993 Calculator

Given Input numbers are 734, 426, 42, 993

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 734, 426, 42, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 426, 42, 993 is 1.

Therefore, GCD of numbers 734, 426, 42, 993 is 1

Given Input Data is 734, 426, 42, 993

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 993 is 3 x 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(734, 426) = 156342

GCD(734, 426) = ( 734 x 426 ) / 156342

GCD(734, 426) = 312684 / 156342

GCD(734, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 993

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

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

GCD(2, 993) = 1986 / 1986

GCD(2, 993) = 1

GCD of 734, 426, 42, 993 is 1

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1. What is the GCD of 734, 426, 42, 993?

GCD of 734, 426, 42, 993 is 1

2. Where do I get the detailed procedure to find GCD of 734, 426, 42, 993?

You can find a detailed procedure to find GCD of 734, 426, 42, 993 on our page.

3. How to find GCD of 734, 426, 42, 993 on a calculator?

You can find the GCD of 734, 426, 42, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.