GCD of 126, 764, 329, 415 Calculator

Given Input numbers are 126, 764, 329, 415

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 126, 764, 329, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 764, 329, 415 is 1.

Therefore, GCD of numbers 126, 764, 329, 415 is 1

Given Input Data is 126, 764, 329, 415

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 329 is 7 x 47

Prime Factorization of 415 is 5 x 83

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(126, 764) = 48132

GCD(126, 764) = ( 126 x 764 ) / 48132

GCD(126, 764) = 96264 / 48132

GCD(126, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 329

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

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

GCD(2, 329) = 658 / 658

GCD(2, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 126, 764, 329, 415 is 1

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1. What is the GCD of 126, 764, 329, 415?

GCD of 126, 764, 329, 415 is 1

2. Where do I get the detailed procedure to find GCD of 126, 764, 329, 415?

You can find a detailed procedure to find GCD of 126, 764, 329, 415 on our page.

3. How to find GCD of 126, 764, 329, 415 on a calculator?

You can find the GCD of 126, 764, 329, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.