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GCD of 402, 549, 549, 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 402, 549, 549, 429 quickly. Get the easiest ways to solve the greatest common divisor of 402, 549, 549, 429 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 402, 549, 549, 429 with Factoring?

Given Input numbers are 402, 549, 549, 429

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

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 (402, 549, 549, 429) = 3.

Find GCD of 402, 549, 549, 429 using Prime Factorization

Given numbers are 402, 549, 549, 429

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 549 are 3 x 3 x 61

Prime factors of 549 are 3 x 3 x 61

Prime factors of 429 are 3 x 11 x 13

The highest common occurrence is 31

Therefore, GCD of 402, 549, 549, 429 is 3.

Steps to Calculate GCD of 402, 549, 549, 429 using LCM Formula

Given numbers are 402, 549, 549, 429

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

Apply this formula for all numbers.

Step1:

LCM(402, 549) = 73566

GCD(402, 549) = ( 402 x 549 ) / 73566

= 402 / 549

= 402


Step2:

LCM(3, 549) = 549

GCD(3, 549) = ( 3 x 549 ) / 549

= 3 / 549

= 3


Step3:

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

= 3 / 429

= 3


So, Greatest Common Divisor of 402, 549, 549, 429 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 402, 549, 549, 429

Given numbers are 402, 549, 549, 429
The greatest common divisor of numbers 402, 549, 549, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 549, 549, 429 is 3.

FAQs on GCD of 402, 549, 549, 429 Calculator

1. What is the GCD of 402, 549, 549, 429?

GCD of given numbers 402, 549, 549, 429 is 3


2. How to calculate the greatest common divisor of 402, 549, 549, 429?

We can find the highest common divisor of 402, 549, 549, 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 402, 549, 549, 429 i.e 3.


3. How can I use the GCD of 402, 549, 549, 429Calculator?

Out the numbers 402, 549, 549, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.