GCD of 504, 561, 523, 375 Calculator

Given Input numbers are 504, 561, 523, 375

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 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (504, 561, 523, 375) = 1.

Given numbers are 504, 561, 523, 375

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 523 are 523

Prime factors of 375 are 3 x 5 x 5 x 5

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

Given numbers are 504, 561, 523, 375

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, 523) = 1569

GCD(3, 523) = ( 3 x 523 ) / 1569

= 3 / 523

= 3

Step3:

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

= 1 / 375

= 1

So, Greatest Common Divisor of 504, 561, 523, 375 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 423, 688, 590
• GCD of 414, 665, 526, 340
• GCD of 243, 577, 358, 867
• GCD of 726, 630, 128, 303
• GCD of 888, 628, 937, 904

Given numbers are 504, 561, 523, 375
The greatest common divisor of numbers 504, 561, 523, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 561, 523, 375 is 1.

1. What is the GCD of 504, 561, 523, 375?

GCD of given numbers 504, 561, 523, 375 is 1

2. How to calculate the greatest common divisor of 504, 561, 523, 375?

We can find the highest common divisor of 504, 561, 523, 375 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, 523, 375 i.e 1.

3. How can I use the GCD of 504, 561, 523, 375Calculator?

Out the numbers 504, 561, 523, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.