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GCD of 424, 840, 544, 580 Calculator

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


Online GCD Calculator is useful to find the GCD of 424, 840, 544, 580 quickly. Get the easiest ways to solve the greatest common divisor of 424, 840, 544, 580 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 424, 840, 544, 580 with Factoring?

Given Input numbers are 424, 840, 544, 580

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580


GCD of numbers is the greatest common divisor

So, the GCD (424, 840, 544, 580) = 4.

Find GCD of 424, 840, 544, 580 using Prime Factorization

Given numbers are 424, 840, 544, 580

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 22

Therefore, GCD of 424, 840, 544, 580 is 4.

Steps to Calculate GCD of 424, 840, 544, 580 using LCM Formula

Given numbers are 424, 840, 544, 580

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

Apply this formula for all numbers.

Step1:

LCM(424, 840) = 44520

GCD(424, 840) = ( 424 x 840 ) / 44520

= 424 / 840

= 424


Step2:

LCM(8, 544) = 544

GCD(8, 544) = ( 8 x 544 ) / 544

= 8 / 544

= 8


Step3:

LCM(8, 580) = 1160

GCD(8, 580) = ( 8 x 580 ) / 1160

= 8 / 580

= 8


So, Greatest Common Divisor of 424, 840, 544, 580 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 424, 840, 544, 580

Given numbers are 424, 840, 544, 580
The greatest common divisor of numbers 424, 840, 544, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 840, 544, 580 is 4.

FAQs on GCD of 424, 840, 544, 580 Calculator

1. What is the GCD of 424, 840, 544, 580?

GCD of given numbers 424, 840, 544, 580 is 4


2. How to calculate the greatest common divisor of 424, 840, 544, 580?

We can find the highest common divisor of 424, 840, 544, 580 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 424, 840, 544, 580 i.e 4.


3. How can I use the GCD of 424, 840, 544, 580Calculator?

Out the numbers 424, 840, 544, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.