GCD of 198, 720, 276, 189 Calculator

Given Input numbers are 198, 720, 276, 189

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (198, 720, 276, 189) = 3.

Given numbers are 198, 720, 276, 189

The list of prime factors of all numbers are

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

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 189 are 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 198, 720, 276, 189 is 3.

Given numbers are 198, 720, 276, 189

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

Apply this formula for all numbers.

Step1:

LCM(198, 720) = 7920

GCD(198, 720) = ( 198 x 720 ) / 7920

= 198 / 720

= 198

Step2:

LCM(18, 276) = 828

GCD(18, 276) = ( 18 x 276 ) / 828

= 18 / 276

= 18

Step3:

LCM(6, 189) = 378

GCD(6, 189) = ( 6 x 189 ) / 378

= 6 / 189

= 6

So, Greatest Common Divisor of 198, 720, 276, 189 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 698, 630, 629
• GCD of 501, 478, 894, 917
• GCD of 347, 497, 550, 534
• GCD of 603, 881, 469, 450
• GCD of 372, 504, 125, 631

Given numbers are 198, 720, 276, 189
The greatest common divisor of numbers 198, 720, 276, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 720, 276, 189 is 3.

1. What is the GCD of 198, 720, 276, 189?

GCD of given numbers 198, 720, 276, 189 is 3

2. How to calculate the greatest common divisor of 198, 720, 276, 189?

We can find the highest common divisor of 198, 720, 276, 189 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, 720, 276, 189 i.e 3.

3. How can I use the GCD of 198, 720, 276, 189Calculator?

Out the numbers 198, 720, 276, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.