GCD of 944, 504, 960, 984 Calculator

Given Input numbers are 944, 504, 960, 984

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

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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 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 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (944, 504, 960, 984) = 8.

Given numbers are 944, 504, 960, 984

The list of prime factors of all numbers are

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

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

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

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2³

Therefore, GCD of 944, 504, 960, 984 is 8.

Given numbers are 944, 504, 960, 984

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

Apply this formula for all numbers.

Step1:

LCM(944, 504) = 59472

GCD(944, 504) = ( 944 x 504 ) / 59472

= 944 / 504

= 944

Step2:

LCM(8, 960) = 960

GCD(8, 960) = ( 8 x 960 ) / 960

= 8 / 960

= 8

Step3:

LCM(8, 984) = 984

GCD(8, 984) = ( 8 x 984 ) / 984

= 8 / 984

= 8

So, Greatest Common Divisor of 944, 504, 960, 984 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 274, 976, 564
• GCD of 438, 852, 902, 883
• GCD of 172, 972, 355, 870
• GCD of 204, 207, 862, 408
• GCD of 764, 254, 760, 813

Given numbers are 944, 504, 960, 984
The greatest common divisor of numbers 944, 504, 960, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 944, 504, 960, 984 is 8.

1. What is the GCD of 944, 504, 960, 984?

GCD of given numbers 944, 504, 960, 984 is 8

2. How to calculate the greatest common divisor of 944, 504, 960, 984?

We can find the highest common divisor of 944, 504, 960, 984 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 944, 504, 960, 984 i.e 8.

3. How can I use the GCD of 944, 504, 960, 984Calculator?

Out the numbers 944, 504, 960, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.