GCD of 360, 462, 414, 990 Calculator

Given Input numbers are 360, 462, 414, 990

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (360, 462, 414, 990) = 6.

Given numbers are 360, 462, 414, 990

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 462 are 2 x 3 x 7 x 11

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 360, 462, 414, 990 is 6.

Given numbers are 360, 462, 414, 990

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

Apply this formula for all numbers.

Step1:

LCM(360, 462) = 27720

GCD(360, 462) = ( 360 x 462 ) / 27720

= 360 / 462

= 360

Step2:

LCM(6, 414) = 414

GCD(6, 414) = ( 6 x 414 ) / 414

= 6 / 414

= 6

Step3:

LCM(6, 990) = 990

GCD(6, 990) = ( 6 x 990 ) / 990

= 6 / 990

= 6

So, Greatest Common Divisor of 360, 462, 414, 990 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 932, 687, 202
• GCD of 690, 432, 928, 681
• GCD of 643, 453, 842, 907
• GCD of 346, 449, 754, 179
• GCD of 973, 556, 860, 706

Given numbers are 360, 462, 414, 990
The greatest common divisor of numbers 360, 462, 414, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 462, 414, 990 is 6.

1. What is the GCD of 360, 462, 414, 990?

GCD of given numbers 360, 462, 414, 990 is 6

2. How to calculate the greatest common divisor of 360, 462, 414, 990?

We can find the highest common divisor of 360, 462, 414, 990 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, 462, 414, 990 i.e 6.

3. How can I use the GCD of 360, 462, 414, 990Calculator?

Out the numbers 360, 462, 414, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.