GCD of 504, 381, 308, 528 Calculator

Given Input numbers are 504, 381, 308, 528

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 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (504, 381, 308, 528) = 1.

Given numbers are 504, 381, 308, 528

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 381 are 3 x 127

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

Given numbers are 504, 381, 308, 528

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

Apply this formula for all numbers.

Step1:

LCM(504, 381) = 64008

GCD(504, 381) = ( 504 x 381 ) / 64008

= 504 / 381

= 504

Step2:

LCM(3, 308) = 924

GCD(3, 308) = ( 3 x 308 ) / 924

= 3 / 308

= 3

Step3:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1

So, Greatest Common Divisor of 504, 381, 308, 528 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 537, 194, 666
• GCD of 380, 535, 969, 551
• GCD of 808, 414, 222, 153
• GCD of 510, 959, 360, 913
• GCD of 801, 241, 284, 109

Given numbers are 504, 381, 308, 528
The greatest common divisor of numbers 504, 381, 308, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 381, 308, 528 is 1.

1. What is the GCD of 504, 381, 308, 528?

GCD of given numbers 504, 381, 308, 528 is 1

2. How to calculate the greatest common divisor of 504, 381, 308, 528?

We can find the highest common divisor of 504, 381, 308, 528 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, 381, 308, 528 i.e 1.

3. How can I use the GCD of 504, 381, 308, 528Calculator?

Out the numbers 504, 381, 308, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.