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GCD of 582, 747, 360, 540 Calculator

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


Online GCD Calculator is useful to find the GCD of 582, 747, 360, 540 quickly. Get the easiest ways to solve the greatest common divisor of 582, 747, 360, 540 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 582, 747, 360, 540 with Factoring?

Given Input numbers are 582, 747, 360, 540

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540


GCD of numbers is the greatest common divisor

So, the GCD (582, 747, 360, 540) = 3.

Find GCD of 582, 747, 360, 540 using Prime Factorization

Given numbers are 582, 747, 360, 540

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 747 are 3 x 3 x 83

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

The highest common occurrence is 31

Therefore, GCD of 582, 747, 360, 540 is 3.

Steps to Calculate GCD of 582, 747, 360, 540 using LCM Formula

Given numbers are 582, 747, 360, 540

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

Apply this formula for all numbers.

Step1:

LCM(582, 747) = 144918

GCD(582, 747) = ( 582 x 747 ) / 144918

= 582 / 747

= 582


Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3


Step3:

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

= 3 / 540

= 3


So, Greatest Common Divisor of 582, 747, 360, 540 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 582, 747, 360, 540

Given numbers are 582, 747, 360, 540
The greatest common divisor of numbers 582, 747, 360, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 747, 360, 540 is 3.

FAQs on GCD of 582, 747, 360, 540 Calculator

1. What is the GCD of 582, 747, 360, 540?

GCD of given numbers 582, 747, 360, 540 is 3


2. How to calculate the greatest common divisor of 582, 747, 360, 540?

We can find the highest common divisor of 582, 747, 360, 540 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 582, 747, 360, 540 i.e 3.


3. How can I use the GCD of 582, 747, 360, 540Calculator?

Out the numbers 582, 747, 360, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.