GCD of 360, 924, 960, 846 Calculator

Given Input numbers are 360, 924, 960, 846

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 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

GCD of numbers is the greatest common divisor

So, the GCD (360, 924, 960, 846) = 6.

Given numbers are 360, 924, 960, 846

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 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 846 are 2 x 3 x 3 x 47

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 360, 924, 960, 846 is 6.

Given numbers are 360, 924, 960, 846

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

Apply this formula for all numbers.

Step1:

LCM(360, 924) = 27720

GCD(360, 924) = ( 360 x 924 ) / 27720

= 360 / 924

= 360

Step2:

LCM(12, 960) = 960

GCD(12, 960) = ( 12 x 960 ) / 960

= 12 / 960

= 12

Step3:

LCM(12, 846) = 1692

GCD(12, 846) = ( 12 x 846 ) / 1692

= 12 / 846

= 12

So, Greatest Common Divisor of 360, 924, 960, 846 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 939, 196, 745
• GCD of 486, 775, 778, 108
• GCD of 562, 160, 929, 908
• GCD of 512, 232, 483, 638
• GCD of 685, 368, 703, 908

Given numbers are 360, 924, 960, 846
The greatest common divisor of numbers 360, 924, 960, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 924, 960, 846 is 6.

1. What is the GCD of 360, 924, 960, 846?

GCD of given numbers 360, 924, 960, 846 is 6

2. How to calculate the greatest common divisor of 360, 924, 960, 846?

We can find the highest common divisor of 360, 924, 960, 846 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, 924, 960, 846 i.e 6.

3. How can I use the GCD of 360, 924, 960, 846Calculator?

Out the numbers 360, 924, 960, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.