GCD of 504, 990, 318, 962 Calculator

Given Input numbers are 504, 990, 318, 962

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

GCD of numbers is the greatest common divisor

So, the GCD (504, 990, 318, 962) = 2.

Given numbers are 504, 990, 318, 962

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Prime factors of 318 are 2 x 3 x 53

Prime factors of 962 are 2 x 13 x 37

The highest common occurrence is 2¹

Therefore, GCD of 504, 990, 318, 962 is 2.

Given numbers are 504, 990, 318, 962

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

Apply this formula for all numbers.

Step1:

LCM(504, 990) = 27720

GCD(504, 990) = ( 504 x 990 ) / 27720

= 504 / 990

= 504

Step2:

LCM(18, 318) = 954

GCD(18, 318) = ( 18 x 318 ) / 954

= 18 / 318

= 18

Step3:

LCM(6, 962) = 2886

GCD(6, 962) = ( 6 x 962 ) / 2886

= 6 / 962

= 6

So, Greatest Common Divisor of 504, 990, 318, 962 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 904, 917, 565
• GCD of 342, 248, 997, 821
• GCD of 279, 109, 217, 456
• GCD of 414, 409, 367, 572
• GCD of 880, 435, 491, 499

Given numbers are 504, 990, 318, 962
The greatest common divisor of numbers 504, 990, 318, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 990, 318, 962 is 2.

1. What is the GCD of 504, 990, 318, 962?

GCD of given numbers 504, 990, 318, 962 is 2

2. How to calculate the greatest common divisor of 504, 990, 318, 962?

We can find the highest common divisor of 504, 990, 318, 962 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 504, 990, 318, 962 i.e 2.

3. How can I use the GCD of 504, 990, 318, 962Calculator?

Out the numbers 504, 990, 318, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.