GCD of 532, 120, 582, 218 Calculator

Given Input numbers are 532, 120, 582, 218

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 582 :

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

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (532, 120, 582, 218) = 2.

Given numbers are 532, 120, 582, 218

The list of prime factors of all numbers are

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 582 are 2 x 3 x 97

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 532, 120, 582, 218 is 2.

Given numbers are 532, 120, 582, 218

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

Apply this formula for all numbers.

Step1:

LCM(532, 120) = 15960

GCD(532, 120) = ( 532 x 120 ) / 15960

= 532 / 120

= 532

Step2:

LCM(4, 582) = 1164

GCD(4, 582) = ( 4 x 582 ) / 1164

= 4 / 582

= 4

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 532, 120, 582, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 521, 899, 528
• GCD of 394, 779, 856, 219
• GCD of 607, 108, 905, 557
• GCD of 408, 669, 162, 665
• GCD of 747, 573, 100, 263

Given numbers are 532, 120, 582, 218
The greatest common divisor of numbers 532, 120, 582, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 120, 582, 218 is 2.

1. What is the GCD of 532, 120, 582, 218?

GCD of given numbers 532, 120, 582, 218 is 2

2. How to calculate the greatest common divisor of 532, 120, 582, 218?

We can find the highest common divisor of 532, 120, 582, 218 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 532, 120, 582, 218 i.e 2.

3. How can I use the GCD of 532, 120, 582, 218Calculator?

Out the numbers 532, 120, 582, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.