GCD of 582, 747, 360, 540 Calculator

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.

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.

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

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 352, 315, 670
• GCD of 143, 334, 498, 599
• GCD of 609, 884, 446, 472
• GCD of 197, 319, 442, 292
• GCD of 719, 424, 361, 740

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.

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.