GCD of 198, 726, 320, 636 Calculator

Given Input numbers are 198, 726, 320, 636

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

GCD of numbers is the greatest common divisor

So, the GCD (198, 726, 320, 636) = 2.

Given numbers are 198, 726, 320, 636

The list of prime factors of all numbers are

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

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 198, 726, 320, 636 is 2.

Given numbers are 198, 726, 320, 636

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

Apply this formula for all numbers.

Step1:

LCM(198, 726) = 2178

GCD(198, 726) = ( 198 x 726 ) / 2178

= 198 / 726

= 198

Step2:

LCM(66, 320) = 10560

GCD(66, 320) = ( 66 x 320 ) / 10560

= 66 / 320

= 66

Step3:

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

= 2 / 636

= 2

So, Greatest Common Divisor of 198, 726, 320, 636 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 897, 172, 550
• GCD of 512, 404, 686, 199
• GCD of 535, 823, 302, 703
• GCD of 533, 137, 871, 675
• GCD of 318, 144, 777, 603

Given numbers are 198, 726, 320, 636
The greatest common divisor of numbers 198, 726, 320, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 726, 320, 636 is 2.

1. What is the GCD of 198, 726, 320, 636?

GCD of given numbers 198, 726, 320, 636 is 2

2. How to calculate the greatest common divisor of 198, 726, 320, 636?

We can find the highest common divisor of 198, 726, 320, 636 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, 726, 320, 636 i.e 2.

3. How can I use the GCD of 198, 726, 320, 636Calculator?

Out the numbers 198, 726, 320, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.