GCD of 504, 332, 844, 614 Calculator

Given Input numbers are 504, 332, 844, 614

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 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (504, 332, 844, 614) = 2.

Given numbers are 504, 332, 844, 614

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 332 are 2 x 2 x 83

Prime factors of 844 are 2 x 2 x 211

Prime factors of 614 are 2 x 307

The highest common occurrence is 2¹

Therefore, GCD of 504, 332, 844, 614 is 2.

Given numbers are 504, 332, 844, 614

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

Apply this formula for all numbers.

Step1:

LCM(504, 332) = 41832

GCD(504, 332) = ( 504 x 332 ) / 41832

= 504 / 332

= 504

Step2:

LCM(4, 844) = 844

GCD(4, 844) = ( 4 x 844 ) / 844

= 4 / 844

= 4

Step3:

LCM(4, 614) = 1228

GCD(4, 614) = ( 4 x 614 ) / 1228

= 4 / 614

= 4

So, Greatest Common Divisor of 504, 332, 844, 614 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 445, 560, 177
• GCD of 530, 283, 928, 937
• GCD of 891, 134, 258, 869
• GCD of 936, 636, 587, 739
• GCD of 423, 901, 849, 303

Given numbers are 504, 332, 844, 614
The greatest common divisor of numbers 504, 332, 844, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 332, 844, 614 is 2.

1. What is the GCD of 504, 332, 844, 614?

GCD of given numbers 504, 332, 844, 614 is 2

2. How to calculate the greatest common divisor of 504, 332, 844, 614?

We can find the highest common divisor of 504, 332, 844, 614 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, 332, 844, 614 i.e 2.

3. How can I use the GCD of 504, 332, 844, 614Calculator?

Out the numbers 504, 332, 844, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.