GCD of 180, 332, 264, 466 Calculator

Given Input numbers are 180, 332, 264, 466

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 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (180, 332, 264, 466) = 2.

Given numbers are 180, 332, 264, 466

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 332 are 2 x 2 x 83

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 180, 332, 264, 466 is 2.

Given numbers are 180, 332, 264, 466

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

Apply this formula for all numbers.

Step1:

LCM(180, 332) = 14940

GCD(180, 332) = ( 180 x 332 ) / 14940

= 180 / 332

= 180

Step2:

LCM(4, 264) = 264

GCD(4, 264) = ( 4 x 264 ) / 264

= 4 / 264

= 4

Step3:

LCM(4, 466) = 932

GCD(4, 466) = ( 4 x 466 ) / 932

= 4 / 466

= 4

So, Greatest Common Divisor of 180, 332, 264, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 884, 415, 437
• GCD of 281, 695, 331, 907
• GCD of 181, 880, 864, 850
• GCD of 989, 699, 788, 674
• GCD of 677, 634, 780, 239

Given numbers are 180, 332, 264, 466
The greatest common divisor of numbers 180, 332, 264, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 332, 264, 466 is 2.

1. What is the GCD of 180, 332, 264, 466?

GCD of given numbers 180, 332, 264, 466 is 2

2. How to calculate the greatest common divisor of 180, 332, 264, 466?

We can find the highest common divisor of 180, 332, 264, 466 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, 332, 264, 466 i.e 2.

3. How can I use the GCD of 180, 332, 264, 466Calculator?

Out the numbers 180, 332, 264, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.