GCD of 129, 894, 222, 360 Calculator

Given Input numbers are 129, 894, 222, 360

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

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

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

GCD of numbers is the greatest common divisor

So, the GCD (129, 894, 222, 360) = 3.

Given numbers are 129, 894, 222, 360

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

Prime factors of 894 are 2 x 3 x 149

Prime factors of 222 are 2 x 3 x 37

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

The highest common occurrence is 3¹

Therefore, GCD of 129, 894, 222, 360 is 3.

Given numbers are 129, 894, 222, 360

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

Apply this formula for all numbers.

Step1:

LCM(129, 894) = 38442

GCD(129, 894) = ( 129 x 894 ) / 38442

= 129 / 894

= 129

Step2:

LCM(3, 222) = 222

GCD(3, 222) = ( 3 x 222 ) / 222

= 3 / 222

= 3

Step3:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

So, Greatest Common Divisor of 129, 894, 222, 360 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 765, 861, 763
• GCD of 934, 104, 715, 765
• GCD of 652, 468, 649, 644
• GCD of 915, 503, 988, 986
• GCD of 866, 779, 161, 434

Given numbers are 129, 894, 222, 360
The greatest common divisor of numbers 129, 894, 222, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 894, 222, 360 is 3.

1. What is the GCD of 129, 894, 222, 360?

GCD of given numbers 129, 894, 222, 360 is 3

2. How to calculate the greatest common divisor of 129, 894, 222, 360?

We can find the highest common divisor of 129, 894, 222, 360 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 129, 894, 222, 360 i.e 3.

3. How can I use the GCD of 129, 894, 222, 360Calculator?

Out the numbers 129, 894, 222, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.