GCD of 378, 250, 504, 638 Calculator

Given Input numbers are 378, 250, 504, 638

In the factoring method, we have to find the divisors of all numbers

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (378, 250, 504, 638) = 2.

Given numbers are 378, 250, 504, 638

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 378, 250, 504, 638 is 2.

Given numbers are 378, 250, 504, 638

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

Apply this formula for all numbers.

Step1:

LCM(378, 250) = 47250

GCD(378, 250) = ( 378 x 250 ) / 47250

= 378 / 250

= 378

Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

Step3:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

So, Greatest Common Divisor of 378, 250, 504, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 978, 143, 445
• GCD of 372, 144, 633, 491
• GCD of 160, 635, 763, 343
• GCD of 451, 603, 440, 666
• GCD of 348, 547, 435, 212

Given numbers are 378, 250, 504, 638
The greatest common divisor of numbers 378, 250, 504, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 250, 504, 638 is 2.

1. What is the GCD of 378, 250, 504, 638?

GCD of given numbers 378, 250, 504, 638 is 2

2. How to calculate the greatest common divisor of 378, 250, 504, 638?

We can find the highest common divisor of 378, 250, 504, 638 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 378, 250, 504, 638 i.e 2.

3. How can I use the GCD of 378, 250, 504, 638Calculator?

Out the numbers 378, 250, 504, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.