GCD of 360, 267, 918, 505 Calculator

Given Input numbers are 360, 267, 918, 505

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 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (360, 267, 918, 505) = 1.

Given numbers are 360, 267, 918, 505

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 267 are 3 x 89

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 505 are 5 x 101

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

Given numbers are 360, 267, 918, 505

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

Apply this formula for all numbers.

Step1:

LCM(360, 267) = 32040

GCD(360, 267) = ( 360 x 267 ) / 32040

= 360 / 267

= 360

Step2:

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

= 3 / 918

= 3

Step3:

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

= 3 / 505

= 3

So, Greatest Common Divisor of 360, 267, 918, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 563, 598, 423
• GCD of 767, 773, 360, 176
• GCD of 374, 748, 780, 968
• GCD of 254, 881, 814, 999
• GCD of 926, 430, 127, 765

Given numbers are 360, 267, 918, 505
The greatest common divisor of numbers 360, 267, 918, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 267, 918, 505 is 1.

1. What is the GCD of 360, 267, 918, 505?

GCD of given numbers 360, 267, 918, 505 is 1

2. How to calculate the greatest common divisor of 360, 267, 918, 505?

We can find the highest common divisor of 360, 267, 918, 505 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, 267, 918, 505 i.e 1.

3. How can I use the GCD of 360, 267, 918, 505Calculator?

Out the numbers 360, 267, 918, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.