GCD of 504, 144, 687, 939 Calculator

Given Input numbers are 504, 144, 687, 939

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

GCD of numbers is the greatest common divisor

So, the GCD (504, 144, 687, 939) = 3.

Given numbers are 504, 144, 687, 939

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 687 are 3 x 229

Prime factors of 939 are 3 x 313

The highest common occurrence is 3¹

Therefore, GCD of 504, 144, 687, 939 is 3.

Given numbers are 504, 144, 687, 939

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

Apply this formula for all numbers.

Step1:

LCM(504, 144) = 1008

GCD(504, 144) = ( 504 x 144 ) / 1008

= 504 / 144

= 504

Step2:

LCM(72, 687) = 16488

GCD(72, 687) = ( 72 x 687 ) / 16488

= 72 / 687

= 72

Step3:

LCM(3, 939) = 939

GCD(3, 939) = ( 3 x 939 ) / 939

= 3 / 939

= 3

So, Greatest Common Divisor of 504, 144, 687, 939 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 138, 677, 652
• GCD of 447, 698, 725, 182
• GCD of 665, 942, 278, 279
• GCD of 669, 159, 453, 701
• GCD of 851, 490, 662, 340

Given numbers are 504, 144, 687, 939
The greatest common divisor of numbers 504, 144, 687, 939 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 144, 687, 939 is 3.

1. What is the GCD of 504, 144, 687, 939?

GCD of given numbers 504, 144, 687, 939 is 3

2. How to calculate the greatest common divisor of 504, 144, 687, 939?

We can find the highest common divisor of 504, 144, 687, 939 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, 144, 687, 939 i.e 3.

3. How can I use the GCD of 504, 144, 687, 939Calculator?

Out the numbers 504, 144, 687, 939 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.