GCD of 360, 900, 882, 234 Calculator

Given Input numbers are 360, 900, 882, 234

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (360, 900, 882, 234) = 18.

Given numbers are 360, 900, 882, 234

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 2¹ x 3²

Therefore, GCD of 360, 900, 882, 234 is 18.

Given numbers are 360, 900, 882, 234

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

Apply this formula for all numbers.

Step1:

LCM(360, 900) = 1800

GCD(360, 900) = ( 360 x 900 ) / 1800

= 360 / 900

= 360

Step2:

LCM(180, 882) = 8820

GCD(180, 882) = ( 180 x 882 ) / 8820

= 180 / 882

= 180

Step3:

LCM(18, 234) = 234

GCD(18, 234) = ( 18 x 234 ) / 234

= 18 / 234

= 18

So, Greatest Common Divisor of 360, 900, 882, 234 is 18

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 606, 361, 657
• GCD of 354, 194, 906, 892
• GCD of 228, 246, 655, 475
• GCD of 991, 170, 545, 894
• GCD of 975, 754, 468, 204

Given numbers are 360, 900, 882, 234
The greatest common divisor of numbers 360, 900, 882, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 900, 882, 234 is 18.

1. What is the GCD of 360, 900, 882, 234?

GCD of given numbers 360, 900, 882, 234 is 18

2. How to calculate the greatest common divisor of 360, 900, 882, 234?

We can find the highest common divisor of 360, 900, 882, 234 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 360, 900, 882, 234 i.e 18.

3. How can I use the GCD of 360, 900, 882, 234Calculator?

Out the numbers 360, 900, 882, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.