GCD of 132, 318, 283, 600 Calculator

Given Input numbers are 132, 318, 283, 600

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 283 :

The positive integer divisors of 283 that completely divides 283 are.

1, 283

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (132, 318, 283, 600) = 1.

Given numbers are 132, 318, 283, 600

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 318 are 2 x 3 x 53

Prime factors of 283 are 283

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 132, 318, 283, 600

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

Apply this formula for all numbers.

Step1:

LCM(132, 318) = 6996

GCD(132, 318) = ( 132 x 318 ) / 6996

= 132 / 318

= 132

Step2:

LCM(6, 283) = 1698

GCD(6, 283) = ( 6 x 283 ) / 1698

= 6 / 283

= 6

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 132, 318, 283, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 700, 384, 672
• GCD of 327, 851, 294, 512
• GCD of 276, 930, 307, 239
• GCD of 489, 612, 391, 320
• GCD of 225, 892, 691, 984

Given numbers are 132, 318, 283, 600
The greatest common divisor of numbers 132, 318, 283, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 318, 283, 600 is 1.

1. What is the GCD of 132, 318, 283, 600?

GCD of given numbers 132, 318, 283, 600 is 1

2. How to calculate the greatest common divisor of 132, 318, 283, 600?

We can find the highest common divisor of 132, 318, 283, 600 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 132, 318, 283, 600 i.e 1.

3. How can I use the GCD of 132, 318, 283, 600Calculator?

Out the numbers 132, 318, 283, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.