GCD of 327, 692, 103, 742 Calculator

Given Input numbers are 327, 692, 103, 742

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 327, 692, 103, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 692, 103, 742 is 1.

Therefore, GCD of numbers 327, 692, 103, 742 is 1

Given Input Data is 327, 692, 103, 742

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 103 is 103

Prime Factorization of 742 is 2 x 7 x 53

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(327, 692) = 226284

GCD(327, 692) = ( 327 x 692 ) / 226284

GCD(327, 692) = 226284 / 226284

GCD(327, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 327, 692, 103, 742 is 1

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1. What is the GCD of 327, 692, 103, 742?

GCD of 327, 692, 103, 742 is 1

2. Where do I get the detailed procedure to find GCD of 327, 692, 103, 742?

You can find a detailed procedure to find GCD of 327, 692, 103, 742 on our page.

3. How to find GCD of 327, 692, 103, 742 on a calculator?

You can find the GCD of 327, 692, 103, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.