GCD of 198, 564, 645, 732 Calculator

Given Input numbers are 198, 564, 645, 732

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (198, 564, 645, 732) = 3.

Given numbers are 198, 564, 645, 732

The list of prime factors of all numbers are

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

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 645 are 3 x 5 x 43

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 198, 564, 645, 732 is 3.

Given numbers are 198, 564, 645, 732

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

Apply this formula for all numbers.

Step1:

LCM(198, 564) = 18612

GCD(198, 564) = ( 198 x 564 ) / 18612

= 198 / 564

= 198

Step2:

LCM(6, 645) = 1290

GCD(6, 645) = ( 6 x 645 ) / 1290

= 6 / 645

= 6

Step3:

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

= 3 / 732

= 3

So, Greatest Common Divisor of 198, 564, 645, 732 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 990, 835, 260
• GCD of 168, 374, 751, 556
• GCD of 744, 516, 438, 484
• GCD of 553, 490, 845, 484
• GCD of 982, 293, 809, 310

Given numbers are 198, 564, 645, 732
The greatest common divisor of numbers 198, 564, 645, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 564, 645, 732 is 3.

1. What is the GCD of 198, 564, 645, 732?

GCD of given numbers 198, 564, 645, 732 is 3

2. How to calculate the greatest common divisor of 198, 564, 645, 732?

We can find the highest common divisor of 198, 564, 645, 732 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, 564, 645, 732 i.e 3.

3. How can I use the GCD of 198, 564, 645, 732Calculator?

Out the numbers 198, 564, 645, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.