GCD of 180, 460, 516, 402 Calculator

Given Input numbers are 180, 460, 516, 402

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (180, 460, 516, 402) = 2.

Given numbers are 180, 460, 516, 402

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 460 are 2 x 2 x 5 x 23

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 180, 460, 516, 402 is 2.

Given numbers are 180, 460, 516, 402

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

Apply this formula for all numbers.

Step1:

LCM(180, 460) = 4140

GCD(180, 460) = ( 180 x 460 ) / 4140

= 180 / 460

= 180

Step2:

LCM(20, 516) = 2580

GCD(20, 516) = ( 20 x 516 ) / 2580

= 20 / 516

= 20

Step3:

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

= 4 / 402

= 4

So, Greatest Common Divisor of 180, 460, 516, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 431, 406, 942
• GCD of 363, 853, 959, 533
• GCD of 791, 815, 944, 362
• GCD of 991, 167, 845, 282
• GCD of 993, 353, 774, 295

Given numbers are 180, 460, 516, 402
The greatest common divisor of numbers 180, 460, 516, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 460, 516, 402 is 2.

1. What is the GCD of 180, 460, 516, 402?

GCD of given numbers 180, 460, 516, 402 is 2

2. How to calculate the greatest common divisor of 180, 460, 516, 402?

We can find the highest common divisor of 180, 460, 516, 402 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, 460, 516, 402 i.e 2.

3. How can I use the GCD of 180, 460, 516, 402Calculator?

Out the numbers 180, 460, 516, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.