GCD of 198, 648, 635, 814 Calculator

Given Input numbers are 198, 648, 635, 814

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

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 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

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (198, 648, 635, 814) = 1.

Given numbers are 198, 648, 635, 814

The list of prime factors of all numbers are

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

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

Prime factors of 635 are 5 x 127

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 198, 648, 635, 814

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

Apply this formula for all numbers.

Step1:

LCM(198, 648) = 7128

GCD(198, 648) = ( 198 x 648 ) / 7128

= 198 / 648

= 198

Step2:

LCM(18, 635) = 11430

GCD(18, 635) = ( 18 x 635 ) / 11430

= 18 / 635

= 18

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 198, 648, 635, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 743, 121, 408
• GCD of 814, 362, 155, 584
• GCD of 478, 255, 703, 374
• GCD of 382, 257, 742, 286
• GCD of 487, 100, 438, 305

Given numbers are 198, 648, 635, 814
The greatest common divisor of numbers 198, 648, 635, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 648, 635, 814 is 1.

1. What is the GCD of 198, 648, 635, 814?

GCD of given numbers 198, 648, 635, 814 is 1

2. How to calculate the greatest common divisor of 198, 648, 635, 814?

We can find the highest common divisor of 198, 648, 635, 814 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 198, 648, 635, 814 i.e 1.

3. How can I use the GCD of 198, 648, 635, 814Calculator?

Out the numbers 198, 648, 635, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.