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GCD of 432, 374, 126, 566 Calculator

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


Online GCD Calculator is useful to find the GCD of 432, 374, 126, 566 quickly. Get the easiest ways to solve the greatest common divisor of 432, 374, 126, 566 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 374, 126, 566 with Factoring?

Given Input numbers are 432, 374, 126, 566

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

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566


GCD of numbers is the greatest common divisor

So, the GCD (432, 374, 126, 566) = 2.

Find GCD of 432, 374, 126, 566 using Prime Factorization

Given numbers are 432, 374, 126, 566

The list of prime factors of all numbers are

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

Prime factors of 374 are 2 x 11 x 17

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 566 are 2 x 283

The highest common occurrence is 21

Therefore, GCD of 432, 374, 126, 566 is 2.

Steps to Calculate GCD of 432, 374, 126, 566 using LCM Formula

Given numbers are 432, 374, 126, 566

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

Apply this formula for all numbers.

Step1:

LCM(432, 374) = 80784

GCD(432, 374) = ( 432 x 374 ) / 80784

= 432 / 374

= 432


Step2:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2


Step3:

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

= 2 / 566

= 2


So, Greatest Common Divisor of 432, 374, 126, 566 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 374, 126, 566

Given numbers are 432, 374, 126, 566
The greatest common divisor of numbers 432, 374, 126, 566 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 374, 126, 566 is 2.

FAQs on GCD of 432, 374, 126, 566 Calculator

1. What is the GCD of 432, 374, 126, 566?

GCD of given numbers 432, 374, 126, 566 is 2


2. How to calculate the greatest common divisor of 432, 374, 126, 566?

We can find the highest common divisor of 432, 374, 126, 566 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 432, 374, 126, 566 i.e 2.


3. How can I use the GCD of 432, 374, 126, 566Calculator?

Out the numbers 432, 374, 126, 566 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.