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GCD of 570, 420, 129, 322 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 570, 420, 129, 322 quickly. Get the easiest ways to solve the greatest common divisor of 570, 420, 129, 322 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 570, 420, 129, 322 with Factoring?

Given Input numbers are 570, 420, 129, 322

In the factoring method, we have to find the divisors of all numbers

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322


GCD of numbers is the greatest common divisor

So, the GCD (570, 420, 129, 322) = 1.

Find GCD of 570, 420, 129, 322 using Prime Factorization

Given numbers are 570, 420, 129, 322

The list of prime factors of all numbers are

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 129 are 3 x 43

Prime factors of 322 are 2 x 7 x 23

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 570, 420, 129, 322 using LCM Formula

Given numbers are 570, 420, 129, 322

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(570, 420) = 7980

GCD(570, 420) = ( 570 x 420 ) / 7980

= 570 / 420

= 570


Step2:

LCM(30, 129) = 1290

GCD(30, 129) = ( 30 x 129 ) / 1290

= 30 / 129

= 30


Step3:

LCM(3, 322) = 966

GCD(3, 322) = ( 3 x 322 ) / 966

= 3 / 322

= 3


So, Greatest Common Divisor of 570, 420, 129, 322 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 570, 420, 129, 322

Given numbers are 570, 420, 129, 322
The greatest common divisor of numbers 570, 420, 129, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 570, 420, 129, 322 is 1.

FAQs on GCD of 570, 420, 129, 322 Calculator

1. What is the GCD of 570, 420, 129, 322?

GCD of given numbers 570, 420, 129, 322 is 1


2. How to calculate the greatest common divisor of 570, 420, 129, 322?

We can find the highest common divisor of 570, 420, 129, 322 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 570, 420, 129, 322 i.e 1.


3. How can I use the GCD of 570, 420, 129, 322Calculator?

Out the numbers 570, 420, 129, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.