GCD of 454, 429, 972, 329 Calculator

Given Input numbers are 454, 429, 972, 329

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 329

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

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 454, 429, 972, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 429, 972, 329 is 1.

Therefore, GCD of numbers 454, 429, 972, 329 is 1

Given Input Data is 454, 429, 972, 329

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 329 is 7 x 47

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(454, 429) = 194766

GCD(454, 429) = ( 454 x 429 ) / 194766

GCD(454, 429) = 194766 / 194766

GCD(454, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 454, 429, 972, 329 is 1

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1. What is the GCD of 454, 429, 972, 329?

GCD of 454, 429, 972, 329 is 1

2. Where do I get the detailed procedure to find GCD of 454, 429, 972, 329?

You can find a detailed procedure to find GCD of 454, 429, 972, 329 on our page.

3. How to find GCD of 454, 429, 972, 329 on a calculator?

You can find the GCD of 454, 429, 972, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.