GCD of 638, 250, 324, 972 Calculator

Given Input numbers are 638, 250, 324, 972

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

Divisors of 638 :

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

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

Divisors of 250 :

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

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (638, 250, 324, 972) = 2.

Given numbers are 638, 250, 324, 972

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

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

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 638, 250, 324, 972 is 2.

Given numbers are 638, 250, 324, 972

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

Apply this formula for all numbers.

Step1:

LCM(638, 250) = 79750

GCD(638, 250) = ( 638 x 250 ) / 79750

= 638 / 250

= 638

Step2:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 638, 250, 324, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 477, 697, 749
• GCD of 313, 931, 288, 456
• GCD of 947, 392, 610, 531
• GCD of 402, 308, 968, 762
• GCD of 290, 242, 736, 657

Given numbers are 638, 250, 324, 972
The greatest common divisor of numbers 638, 250, 324, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 250, 324, 972 is 2.

1. What is the GCD of 638, 250, 324, 972?

GCD of given numbers 638, 250, 324, 972 is 2

2. How to calculate the greatest common divisor of 638, 250, 324, 972?

We can find the highest common divisor of 638, 250, 324, 972 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 638, 250, 324, 972 i.e 2.

3. How can I use the GCD of 638, 250, 324, 972Calculator?

Out the numbers 638, 250, 324, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.