GCD of 749, 327, 106, 407 Calculator

Given Input numbers are 749, 327, 106, 407

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 327

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

1, 3, 109, 327

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 749, 327, 106, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 327, 106, 407 is 1.

Therefore, GCD of numbers 749, 327, 106, 407 is 1

Given Input Data is 749, 327, 106, 407

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 327 is 3 x 109

Prime Factorization of 106 is 2 x 53

Prime Factorization of 407 is 11 x 37

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(749, 327) = 244923

GCD(749, 327) = ( 749 x 327 ) / 244923

GCD(749, 327) = 244923 / 244923

GCD(749, 327) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 749, 327, 106, 407 is 1

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1. What is the GCD of 749, 327, 106, 407?

GCD of 749, 327, 106, 407 is 1

2. Where do I get the detailed procedure to find GCD of 749, 327, 106, 407?

You can find a detailed procedure to find GCD of 749, 327, 106, 407 on our page.

3. How to find GCD of 749, 327, 106, 407 on a calculator?

You can find the GCD of 749, 327, 106, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.