GCD of 504, 338, 253, 381 Calculator

Given Input numbers are 504, 338, 253, 381

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 253 :

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

1, 11, 23, 253

Divisors of 381 :

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

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (504, 338, 253, 381) = 1.

Given numbers are 504, 338, 253, 381

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 338 are 2 x 13 x 13

Prime factors of 253 are 11 x 23

Prime factors of 381 are 3 x 127

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

Given numbers are 504, 338, 253, 381

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

Apply this formula for all numbers.

Step1:

LCM(504, 338) = 85176

GCD(504, 338) = ( 504 x 338 ) / 85176

= 504 / 338

= 504

Step2:

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

= 2 / 253

= 2

Step3:

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

= 1 / 381

= 1

So, Greatest Common Divisor of 504, 338, 253, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 187, 881, 815
• GCD of 654, 291, 594, 229
• GCD of 260, 778, 621, 378
• GCD of 991, 686, 419, 441
• GCD of 540, 307, 441, 866

Given numbers are 504, 338, 253, 381
The greatest common divisor of numbers 504, 338, 253, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 338, 253, 381 is 1.

1. What is the GCD of 504, 338, 253, 381?

GCD of given numbers 504, 338, 253, 381 is 1

2. How to calculate the greatest common divisor of 504, 338, 253, 381?

We can find the highest common divisor of 504, 338, 253, 381 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, 338, 253, 381 i.e 1.

3. How can I use the GCD of 504, 338, 253, 381Calculator?

Out the numbers 504, 338, 253, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.