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GCD of 429, 885, 432, 465 Calculator

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


Online GCD Calculator is useful to find the GCD of 429, 885, 432, 465 quickly. Get the easiest ways to solve the greatest common divisor of 429, 885, 432, 465 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 429, 885, 432, 465 with Factoring?

Given Input numbers are 429, 885, 432, 465

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

Divisors of 429 :

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

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

Divisors of 885 :

The positive integer divisors of 885 that completely divides 885 are.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465


GCD of numbers is the greatest common divisor

So, the GCD (429, 885, 432, 465) = 3.

Find GCD of 429, 885, 432, 465 using Prime Factorization

Given numbers are 429, 885, 432, 465

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 885 are 3 x 5 x 59

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 465 are 3 x 5 x 31

The highest common occurrence is 31

Therefore, GCD of 429, 885, 432, 465 is 3.

Steps to Calculate GCD of 429, 885, 432, 465 using LCM Formula

Given numbers are 429, 885, 432, 465

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

Apply this formula for all numbers.

Step1:

LCM(429, 885) = 126555

GCD(429, 885) = ( 429 x 885 ) / 126555

= 429 / 885

= 429


Step2:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3


Step3:

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

= 3 / 465

= 3


So, Greatest Common Divisor of 429, 885, 432, 465 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 429, 885, 432, 465

Given numbers are 429, 885, 432, 465
The greatest common divisor of numbers 429, 885, 432, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 885, 432, 465 is 3.

FAQs on GCD of 429, 885, 432, 465 Calculator

1. What is the GCD of 429, 885, 432, 465?

GCD of given numbers 429, 885, 432, 465 is 3


2. How to calculate the greatest common divisor of 429, 885, 432, 465?

We can find the highest common divisor of 429, 885, 432, 465 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 429, 885, 432, 465 i.e 3.


3. How can I use the GCD of 429, 885, 432, 465Calculator?

Out the numbers 429, 885, 432, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.