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GCD of 732, 442, 810, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 732, 442, 810, 684 quickly. Get the easiest ways to solve the greatest common divisor of 732, 442, 810, 684 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 732, 442, 810, 684 with Factoring?

Given Input numbers are 732, 442, 810, 684

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684


GCD of numbers is the greatest common divisor

So, the GCD (732, 442, 810, 684) = 2.

Find GCD of 732, 442, 810, 684 using Prime Factorization

Given numbers are 732, 442, 810, 684

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 442 are 2 x 13 x 17

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 21

Therefore, GCD of 732, 442, 810, 684 is 2.

Steps to Calculate GCD of 732, 442, 810, 684 using LCM Formula

Given numbers are 732, 442, 810, 684

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

Apply this formula for all numbers.

Step1:

LCM(732, 442) = 161772

GCD(732, 442) = ( 732 x 442 ) / 161772

= 732 / 442

= 732


Step2:

LCM(2, 810) = 810

GCD(2, 810) = ( 2 x 810 ) / 810

= 2 / 810

= 2


Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2


So, Greatest Common Divisor of 732, 442, 810, 684 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 732, 442, 810, 684

Given numbers are 732, 442, 810, 684
The greatest common divisor of numbers 732, 442, 810, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 442, 810, 684 is 2.

FAQs on GCD of 732, 442, 810, 684 Calculator

1. What is the GCD of 732, 442, 810, 684?

GCD of given numbers 732, 442, 810, 684 is 2


2. How to calculate the greatest common divisor of 732, 442, 810, 684?

We can find the highest common divisor of 732, 442, 810, 684 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 732, 442, 810, 684 i.e 2.


3. How can I use the GCD of 732, 442, 810, 684Calculator?

Out the numbers 732, 442, 810, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.