GCD of 501, 162, 990, 624 Calculator

Given Input numbers are 501, 162, 990, 624

In the factoring method, we have to find the divisors of all numbers

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (501, 162, 990, 624) = 3.

Given numbers are 501, 162, 990, 624

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 501, 162, 990, 624 is 3.

Given numbers are 501, 162, 990, 624

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

Apply this formula for all numbers.

Step1:

LCM(501, 162) = 27054

GCD(501, 162) = ( 501 x 162 ) / 27054

= 501 / 162

= 501

Step2:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

Step3:

LCM(3, 624) = 624

GCD(3, 624) = ( 3 x 624 ) / 624

= 3 / 624

= 3

So, Greatest Common Divisor of 501, 162, 990, 624 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 666, 405, 224
• GCD of 674, 692, 708, 496
• GCD of 821, 368, 298, 531
• GCD of 914, 193, 277, 833
• GCD of 384, 319, 944, 964

Given numbers are 501, 162, 990, 624
The greatest common divisor of numbers 501, 162, 990, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 162, 990, 624 is 3.

1. What is the GCD of 501, 162, 990, 624?

GCD of given numbers 501, 162, 990, 624 is 3

2. How to calculate the greatest common divisor of 501, 162, 990, 624?

We can find the highest common divisor of 501, 162, 990, 624 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 501, 162, 990, 624 i.e 3.

3. How can I use the GCD of 501, 162, 990, 624Calculator?

Out the numbers 501, 162, 990, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.