GCD of 638, 198, 994, 648 Calculator

Given Input numbers are 638, 198, 994, 648

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (638, 198, 994, 648) = 2.

Given numbers are 638, 198, 994, 648

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 994 are 2 x 7 x 71

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 638, 198, 994, 648 is 2.

Given numbers are 638, 198, 994, 648

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

Apply this formula for all numbers.

Step1:

LCM(638, 198) = 5742

GCD(638, 198) = ( 638 x 198 ) / 5742

= 638 / 198

= 638

Step2:

LCM(22, 994) = 10934

GCD(22, 994) = ( 22 x 994 ) / 10934

= 22 / 994

= 22

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 638, 198, 994, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 671, 855, 513
• GCD of 992, 316, 919, 856
• GCD of 536, 553, 552, 988
• GCD of 500, 217, 160, 786
• GCD of 304, 377, 965, 309

Given numbers are 638, 198, 994, 648
The greatest common divisor of numbers 638, 198, 994, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 198, 994, 648 is 2.

1. What is the GCD of 638, 198, 994, 648?

GCD of given numbers 638, 198, 994, 648 is 2

2. How to calculate the greatest common divisor of 638, 198, 994, 648?

We can find the highest common divisor of 638, 198, 994, 648 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, 198, 994, 648 i.e 2.

3. How can I use the GCD of 638, 198, 994, 648Calculator?

Out the numbers 638, 198, 994, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.