GCD of 360, 771, 825, 230 Calculator

Given Input numbers are 360, 771, 825, 230

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 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

GCD of numbers is the greatest common divisor

So, the GCD (360, 771, 825, 230) = 1.

Given numbers are 360, 771, 825, 230

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 771 are 3 x 257

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 230 are 2 x 5 x 23

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

Given numbers are 360, 771, 825, 230

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

Apply this formula for all numbers.

Step1:

LCM(360, 771) = 92520

GCD(360, 771) = ( 360 x 771 ) / 92520

= 360 / 771

= 360

Step2:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

Step3:

LCM(3, 230) = 690

GCD(3, 230) = ( 3 x 230 ) / 690

= 3 / 230

= 3

So, Greatest Common Divisor of 360, 771, 825, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 999, 202, 161
• GCD of 900, 587, 397, 237
• GCD of 725, 810, 546, 696
• GCD of 280, 733, 822, 258
• GCD of 283, 791, 868, 319

Given numbers are 360, 771, 825, 230
The greatest common divisor of numbers 360, 771, 825, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 771, 825, 230 is 1.

1. What is the GCD of 360, 771, 825, 230?

GCD of given numbers 360, 771, 825, 230 is 1

2. How to calculate the greatest common divisor of 360, 771, 825, 230?

We can find the highest common divisor of 360, 771, 825, 230 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, 771, 825, 230 i.e 1.

3. How can I use the GCD of 360, 771, 825, 230Calculator?

Out the numbers 360, 771, 825, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.