GCD of 180, 562, 110, 452 Calculator

Given Input numbers are 180, 562, 110, 452

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (180, 562, 110, 452) = 2.

Given numbers are 180, 562, 110, 452

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 562 are 2 x 281

Prime factors of 110 are 2 x 5 x 11

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 180, 562, 110, 452 is 2.

Given numbers are 180, 562, 110, 452

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

Apply this formula for all numbers.

Step1:

LCM(180, 562) = 50580

GCD(180, 562) = ( 180 x 562 ) / 50580

= 180 / 562

= 180

Step2:

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

= 2 / 110

= 2

Step3:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

So, Greatest Common Divisor of 180, 562, 110, 452 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 959, 886, 752
• GCD of 641, 986, 383, 483
• GCD of 215, 614, 609, 752
• GCD of 142, 186, 170, 194
• GCD of 426, 391, 189, 204

Given numbers are 180, 562, 110, 452
The greatest common divisor of numbers 180, 562, 110, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 562, 110, 452 is 2.

1. What is the GCD of 180, 562, 110, 452?

GCD of given numbers 180, 562, 110, 452 is 2

2. How to calculate the greatest common divisor of 180, 562, 110, 452?

We can find the highest common divisor of 180, 562, 110, 452 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 180, 562, 110, 452 i.e 2.

3. How can I use the GCD of 180, 562, 110, 452Calculator?

Out the numbers 180, 562, 110, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.