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GCD of 534, 225, 684, 873 Calculator

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


Online GCD Calculator is useful to find the GCD of 534, 225, 684, 873 quickly. Get the easiest ways to solve the greatest common divisor of 534, 225, 684, 873 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 534, 225, 684, 873 with Factoring?

Given Input numbers are 534, 225, 684, 873

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

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873


GCD of numbers is the greatest common divisor

So, the GCD (534, 225, 684, 873) = 3.

Find GCD of 534, 225, 684, 873 using Prime Factorization

Given numbers are 534, 225, 684, 873

The list of prime factors of all numbers are

Prime factors of 534 are 2 x 3 x 89

Prime factors of 225 are 3 x 3 x 5 x 5

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

Prime factors of 873 are 3 x 3 x 97

The highest common occurrence is 31

Therefore, GCD of 534, 225, 684, 873 is 3.

Steps to Calculate GCD of 534, 225, 684, 873 using LCM Formula

Given numbers are 534, 225, 684, 873

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

Apply this formula for all numbers.

Step1:

LCM(534, 225) = 40050

GCD(534, 225) = ( 534 x 225 ) / 40050

= 534 / 225

= 534


Step2:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3


Step3:

LCM(3, 873) = 873

GCD(3, 873) = ( 3 x 873 ) / 873

= 3 / 873

= 3


So, Greatest Common Divisor of 534, 225, 684, 873 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 534, 225, 684, 873

Given numbers are 534, 225, 684, 873
The greatest common divisor of numbers 534, 225, 684, 873 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 225, 684, 873 is 3.

FAQs on GCD of 534, 225, 684, 873 Calculator

1. What is the GCD of 534, 225, 684, 873?

GCD of given numbers 534, 225, 684, 873 is 3


2. How to calculate the greatest common divisor of 534, 225, 684, 873?

We can find the highest common divisor of 534, 225, 684, 873 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 534, 225, 684, 873 i.e 3.


3. How can I use the GCD of 534, 225, 684, 873Calculator?

Out the numbers 534, 225, 684, 873 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.