GCD of 504, 561, 249, 704 Calculator

Given Input numbers are 504, 561, 249, 704

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 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (504, 561, 249, 704) = 1.

Given numbers are 504, 561, 249, 704

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 561 are 3 x 11 x 17

Prime factors of 249 are 3 x 83

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 504, 561, 249, 704

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

Apply this formula for all numbers.

Step1:

LCM(504, 561) = 94248

GCD(504, 561) = ( 504 x 561 ) / 94248

= 504 / 561

= 504

Step2:

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

= 3 / 249

= 3

Step3:

LCM(3, 704) = 2112

GCD(3, 704) = ( 3 x 704 ) / 2112

= 3 / 704

= 3

So, Greatest Common Divisor of 504, 561, 249, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 935, 744, 791
• GCD of 478, 727, 306, 111
• GCD of 958, 543, 701, 594
• GCD of 710, 204, 645, 355
• GCD of 464, 409, 880, 726

Given numbers are 504, 561, 249, 704
The greatest common divisor of numbers 504, 561, 249, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 561, 249, 704 is 1.

1. What is the GCD of 504, 561, 249, 704?

GCD of given numbers 504, 561, 249, 704 is 1

2. How to calculate the greatest common divisor of 504, 561, 249, 704?

We can find the highest common divisor of 504, 561, 249, 704 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, 561, 249, 704 i.e 1.

3. How can I use the GCD of 504, 561, 249, 704Calculator?

Out the numbers 504, 561, 249, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.