GCD of 504, 145, 627, 828 Calculator

Given Input numbers are 504, 145, 627, 828

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 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (504, 145, 627, 828) = 1.

Given numbers are 504, 145, 627, 828

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 145 are 5 x 29

Prime factors of 627 are 3 x 11 x 19

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 504, 145, 627, 828

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

Apply this formula for all numbers.

Step1:

LCM(504, 145) = 73080

GCD(504, 145) = ( 504 x 145 ) / 73080

= 504 / 145

= 504

Step2:

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

= 1 / 627

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 504, 145, 627, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 458, 759, 781
• GCD of 592, 268, 840, 321
• GCD of 948, 510, 817, 880
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Given numbers are 504, 145, 627, 828
The greatest common divisor of numbers 504, 145, 627, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 145, 627, 828 is 1.

1. What is the GCD of 504, 145, 627, 828?

GCD of given numbers 504, 145, 627, 828 is 1

2. How to calculate the greatest common divisor of 504, 145, 627, 828?

We can find the highest common divisor of 504, 145, 627, 828 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, 145, 627, 828 i.e 1.

3. How can I use the GCD of 504, 145, 627, 828Calculator?

Out the numbers 504, 145, 627, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.