GCD of 198, 546, 650, 220 Calculator

Given Input numbers are 198, 546, 650, 220

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 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (198, 546, 650, 220) = 2.

Given numbers are 198, 546, 650, 220

The list of prime factors of all numbers are

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

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 220 are 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 198, 546, 650, 220 is 2.

Given numbers are 198, 546, 650, 220

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

Apply this formula for all numbers.

Step1:

LCM(198, 546) = 18018

GCD(198, 546) = ( 198 x 546 ) / 18018

= 198 / 546

= 198

Step2:

LCM(6, 650) = 1950

GCD(6, 650) = ( 6 x 650 ) / 1950

= 6 / 650

= 6

Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

So, Greatest Common Divisor of 198, 546, 650, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 394, 763, 821
• GCD of 960, 180, 242, 557
• GCD of 441, 420, 455, 250
• GCD of 654, 151, 848, 884
• GCD of 316, 227, 731, 219

Given numbers are 198, 546, 650, 220
The greatest common divisor of numbers 198, 546, 650, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 546, 650, 220 is 2.

1. What is the GCD of 198, 546, 650, 220?

GCD of given numbers 198, 546, 650, 220 is 2

2. How to calculate the greatest common divisor of 198, 546, 650, 220?

We can find the highest common divisor of 198, 546, 650, 220 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, 546, 650, 220 i.e 2.

3. How can I use the GCD of 198, 546, 650, 220Calculator?

Out the numbers 198, 546, 650, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.