GCD of 712, 180, 210, 288 Calculator

Given Input numbers are 712, 180, 210, 288

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (712, 180, 210, 288) = 2.

Given numbers are 712, 180, 210, 288

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

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

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 712, 180, 210, 288 is 2.

Given numbers are 712, 180, 210, 288

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

Apply this formula for all numbers.

Step1:

LCM(712, 180) = 32040

GCD(712, 180) = ( 712 x 180 ) / 32040

= 712 / 180

= 712

Step2:

LCM(4, 210) = 420

GCD(4, 210) = ( 4 x 210 ) / 420

= 4 / 210

= 4

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 712, 180, 210, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 541, 572, 474
• GCD of 424, 560, 699, 605
• GCD of 236, 316, 622, 125
• GCD of 608, 582, 838, 332
• GCD of 211, 112, 956, 997

Given numbers are 712, 180, 210, 288
The greatest common divisor of numbers 712, 180, 210, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 180, 210, 288 is 2.

1. What is the GCD of 712, 180, 210, 288?

GCD of given numbers 712, 180, 210, 288 is 2

2. How to calculate the greatest common divisor of 712, 180, 210, 288?

We can find the highest common divisor of 712, 180, 210, 288 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 712, 180, 210, 288 i.e 2.

3. How can I use the GCD of 712, 180, 210, 288Calculator?

Out the numbers 712, 180, 210, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.