GCD of 360, 861, 282, 567 Calculator

Given Input numbers are 360, 861, 282, 567

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 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (360, 861, 282, 567) = 3.

Given numbers are 360, 861, 282, 567

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 861 are 3 x 7 x 41

Prime factors of 282 are 2 x 3 x 47

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 360, 861, 282, 567 is 3.

Given numbers are 360, 861, 282, 567

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

Apply this formula for all numbers.

Step1:

LCM(360, 861) = 103320

GCD(360, 861) = ( 360 x 861 ) / 103320

= 360 / 861

= 360

Step2:

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

= 3 / 282

= 3

Step3:

LCM(3, 567) = 567

GCD(3, 567) = ( 3 x 567 ) / 567

= 3 / 567

= 3

So, Greatest Common Divisor of 360, 861, 282, 567 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 386, 548, 697
• GCD of 984, 472, 249, 399
• GCD of 831, 839, 553, 403
• GCD of 517, 291, 517, 377
• GCD of 637, 750, 197, 400

Given numbers are 360, 861, 282, 567
The greatest common divisor of numbers 360, 861, 282, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 861, 282, 567 is 3.

1. What is the GCD of 360, 861, 282, 567?

GCD of given numbers 360, 861, 282, 567 is 3

2. How to calculate the greatest common divisor of 360, 861, 282, 567?

We can find the highest common divisor of 360, 861, 282, 567 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, 861, 282, 567 i.e 3.

3. How can I use the GCD of 360, 861, 282, 567Calculator?

Out the numbers 360, 861, 282, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.