GCD of 360, 687, 290, 267 Calculator

Given Input numbers are 360, 687, 290, 267

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 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 267 :

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

1, 3, 89, 267

GCD of numbers is the greatest common divisor

So, the GCD (360, 687, 290, 267) = 1.

Given numbers are 360, 687, 290, 267

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 687 are 3 x 229

Prime factors of 290 are 2 x 5 x 29

Prime factors of 267 are 3 x 89

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

Given numbers are 360, 687, 290, 267

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

Apply this formula for all numbers.

Step1:

LCM(360, 687) = 82440

GCD(360, 687) = ( 360 x 687 ) / 82440

= 360 / 687

= 360

Step2:

LCM(3, 290) = 870

GCD(3, 290) = ( 3 x 290 ) / 870

= 3 / 290

= 3

Step3:

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

= 1 / 267

= 1

So, Greatest Common Divisor of 360, 687, 290, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 129, 368, 591
• GCD of 817, 141, 697, 651
• GCD of 931, 376, 846, 379
• GCD of 554, 930, 782, 448
• GCD of 364, 251, 787, 229

Given numbers are 360, 687, 290, 267
The greatest common divisor of numbers 360, 687, 290, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 687, 290, 267 is 1.

1. What is the GCD of 360, 687, 290, 267?

GCD of given numbers 360, 687, 290, 267 is 1

2. How to calculate the greatest common divisor of 360, 687, 290, 267?

We can find the highest common divisor of 360, 687, 290, 267 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, 687, 290, 267 i.e 1.

3. How can I use the GCD of 360, 687, 290, 267Calculator?

Out the numbers 360, 687, 290, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.