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GCD of 575, 322, 428, 429 Calculator

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


Online GCD Calculator is useful to find the GCD of 575, 322, 428, 429 quickly. Get the easiest ways to solve the greatest common divisor of 575, 322, 428, 429 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 575, 322, 428, 429 with Factoring?

Given Input numbers are 575, 322, 428, 429

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

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 322 :

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

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (575, 322, 428, 429) = 1.

Find GCD of 575, 322, 428, 429 using Prime Factorization

Given numbers are 575, 322, 428, 429

The list of prime factors of all numbers are

Prime factors of 575 are 5 x 5 x 23

Prime factors of 322 are 2 x 7 x 23

Prime factors of 428 are 2 x 2 x 107

Prime factors of 429 are 3 x 11 x 13

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

Steps to Calculate GCD of 575, 322, 428, 429 using LCM Formula

Given numbers are 575, 322, 428, 429

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

Apply this formula for all numbers.

Step1:

LCM(575, 322) = 8050

GCD(575, 322) = ( 575 x 322 ) / 8050

= 575 / 322

= 575


Step2:

LCM(23, 428) = 9844

GCD(23, 428) = ( 23 x 428 ) / 9844

= 23 / 428

= 23


Step3:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1


So, Greatest Common Divisor of 575, 322, 428, 429 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 575, 322, 428, 429

Given numbers are 575, 322, 428, 429
The greatest common divisor of numbers 575, 322, 428, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 575, 322, 428, 429 is 1.

FAQs on GCD of 575, 322, 428, 429 Calculator

1. What is the GCD of 575, 322, 428, 429?

GCD of given numbers 575, 322, 428, 429 is 1


2. How to calculate the greatest common divisor of 575, 322, 428, 429?

We can find the highest common divisor of 575, 322, 428, 429 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 575, 322, 428, 429 i.e 1.


3. How can I use the GCD of 575, 322, 428, 429Calculator?

Out the numbers 575, 322, 428, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.