GCD of 504, 253, 387, 144 Calculator

Given Input numbers are 504, 253, 387, 144

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 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (504, 253, 387, 144) = 1.

Given numbers are 504, 253, 387, 144

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 253 are 11 x 23

Prime factors of 387 are 3 x 3 x 43

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 504, 253, 387, 144

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

Apply this formula for all numbers.

Step1:

LCM(504, 253) = 127512

GCD(504, 253) = ( 504 x 253 ) / 127512

= 504 / 253

= 504

Step2:

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

= 1 / 387

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 504, 253, 387, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 394, 203, 820
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Given numbers are 504, 253, 387, 144
The greatest common divisor of numbers 504, 253, 387, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 253, 387, 144 is 1.

1. What is the GCD of 504, 253, 387, 144?

GCD of given numbers 504, 253, 387, 144 is 1

2. How to calculate the greatest common divisor of 504, 253, 387, 144?

We can find the highest common divisor of 504, 253, 387, 144 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, 253, 387, 144 i.e 1.

3. How can I use the GCD of 504, 253, 387, 144Calculator?

Out the numbers 504, 253, 387, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.