GCD of 504, 490, 725, 904 Calculator

Given Input numbers are 504, 490, 725, 904

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

GCD of numbers is the greatest common divisor

So, the GCD (504, 490, 725, 904) = 1.

Given numbers are 504, 490, 725, 904

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 490 are 2 x 5 x 7 x 7

Prime factors of 725 are 5 x 5 x 29

Prime factors of 904 are 2 x 2 x 2 x 113

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

Given numbers are 504, 490, 725, 904

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

Apply this formula for all numbers.

Step1:

LCM(504, 490) = 17640

GCD(504, 490) = ( 504 x 490 ) / 17640

= 504 / 490

= 504

Step2:

LCM(14, 725) = 10150

GCD(14, 725) = ( 14 x 725 ) / 10150

= 14 / 725

= 14

Step3:

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

= 1 / 904

= 1

So, Greatest Common Divisor of 504, 490, 725, 904 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 964, 353, 383
• GCD of 262, 932, 347, 173
• GCD of 105, 590, 734, 524
• GCD of 751, 703, 539, 807
• GCD of 189, 827, 591, 221

Given numbers are 504, 490, 725, 904
The greatest common divisor of numbers 504, 490, 725, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 490, 725, 904 is 1.

1. What is the GCD of 504, 490, 725, 904?

GCD of given numbers 504, 490, 725, 904 is 1

2. How to calculate the greatest common divisor of 504, 490, 725, 904?

We can find the highest common divisor of 504, 490, 725, 904 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, 490, 725, 904 i.e 1.

3. How can I use the GCD of 504, 490, 725, 904Calculator?

Out the numbers 504, 490, 725, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.