GCD of 360, 189, 315, 266 Calculator

Given Input numbers are 360, 189, 315, 266

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

GCD of numbers is the greatest common divisor

So, the GCD (360, 189, 315, 266) = 1.

Given numbers are 360, 189, 315, 266

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 189 are 3 x 3 x 3 x 7

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 266 are 2 x 7 x 19

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

Given numbers are 360, 189, 315, 266

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

Apply this formula for all numbers.

Step1:

LCM(360, 189) = 7560

GCD(360, 189) = ( 360 x 189 ) / 7560

= 360 / 189

= 360

Step2:

LCM(9, 315) = 315

GCD(9, 315) = ( 9 x 315 ) / 315

= 9 / 315

= 9

Step3:

LCM(9, 266) = 2394

GCD(9, 266) = ( 9 x 266 ) / 2394

= 9 / 266

= 9

So, Greatest Common Divisor of 360, 189, 315, 266 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 231, 771, 461
• GCD of 626, 729, 418, 678
• GCD of 596, 271, 990, 281
• GCD of 721, 634, 664, 204
• GCD of 483, 241, 846, 436

Given numbers are 360, 189, 315, 266
The greatest common divisor of numbers 360, 189, 315, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 189, 315, 266 is 1.

1. What is the GCD of 360, 189, 315, 266?

GCD of given numbers 360, 189, 315, 266 is 1

2. How to calculate the greatest common divisor of 360, 189, 315, 266?

We can find the highest common divisor of 360, 189, 315, 266 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, 189, 315, 266 i.e 1.

3. How can I use the GCD of 360, 189, 315, 266Calculator?

Out the numbers 360, 189, 315, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.