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GCD of 584, 468, 850, 730 Calculator

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


Online GCD Calculator is useful to find the GCD of 584, 468, 850, 730 quickly. Get the easiest ways to solve the greatest common divisor of 584, 468, 850, 730 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 584, 468, 850, 730 with Factoring?

Given Input numbers are 584, 468, 850, 730

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730


GCD of numbers is the greatest common divisor

So, the GCD (584, 468, 850, 730) = 2.

Find GCD of 584, 468, 850, 730 using Prime Factorization

Given numbers are 584, 468, 850, 730

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 21

Therefore, GCD of 584, 468, 850, 730 is 2.

Steps to Calculate GCD of 584, 468, 850, 730 using LCM Formula

Given numbers are 584, 468, 850, 730

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

Apply this formula for all numbers.

Step1:

LCM(584, 468) = 68328

GCD(584, 468) = ( 584 x 468 ) / 68328

= 584 / 468

= 584


Step2:

LCM(4, 850) = 1700

GCD(4, 850) = ( 4 x 850 ) / 1700

= 4 / 850

= 4


Step3:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2


So, Greatest Common Divisor of 584, 468, 850, 730 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 584, 468, 850, 730

Given numbers are 584, 468, 850, 730
The greatest common divisor of numbers 584, 468, 850, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 468, 850, 730 is 2.

FAQs on GCD of 584, 468, 850, 730 Calculator

1. What is the GCD of 584, 468, 850, 730?

GCD of given numbers 584, 468, 850, 730 is 2


2. How to calculate the greatest common divisor of 584, 468, 850, 730?

We can find the highest common divisor of 584, 468, 850, 730 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 584, 468, 850, 730 i.e 2.


3. How can I use the GCD of 584, 468, 850, 730Calculator?

Out the numbers 584, 468, 850, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.