GCD of 396, 180, 282, 711 Calculator

Given Input numbers are 396, 180, 282, 711

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

GCD of numbers is the greatest common divisor

So, the GCD (396, 180, 282, 711) = 3.

Given numbers are 396, 180, 282, 711

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

Prime factors of 282 are 2 x 3 x 47

Prime factors of 711 are 3 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 396, 180, 282, 711 is 3.

Given numbers are 396, 180, 282, 711

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

Apply this formula for all numbers.

Step1:

LCM(396, 180) = 1980

GCD(396, 180) = ( 396 x 180 ) / 1980

= 396 / 180

= 396

Step2:

LCM(36, 282) = 1692

GCD(36, 282) = ( 36 x 282 ) / 1692

= 36 / 282

= 36

Step3:

LCM(6, 711) = 1422

GCD(6, 711) = ( 6 x 711 ) / 1422

= 6 / 711

= 6

So, Greatest Common Divisor of 396, 180, 282, 711 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 297, 361, 487
• GCD of 533, 223, 872, 588
• GCD of 587, 604, 380, 734
• GCD of 271, 697, 932, 798
• GCD of 484, 696, 956, 354

Given numbers are 396, 180, 282, 711
The greatest common divisor of numbers 396, 180, 282, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 180, 282, 711 is 3.

1. What is the GCD of 396, 180, 282, 711?

GCD of given numbers 396, 180, 282, 711 is 3

2. How to calculate the greatest common divisor of 396, 180, 282, 711?

We can find the highest common divisor of 396, 180, 282, 711 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 396, 180, 282, 711 i.e 3.

3. How can I use the GCD of 396, 180, 282, 711Calculator?

Out the numbers 396, 180, 282, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.