GCD of 198, 522, 270, 946 Calculator

Given Input numbers are 198, 522, 270, 946

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

GCD of numbers is the greatest common divisor

So, the GCD (198, 522, 270, 946) = 2.

Given numbers are 198, 522, 270, 946

The list of prime factors of all numbers are

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

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 946 are 2 x 11 x 43

The highest common occurrence is 2¹

Therefore, GCD of 198, 522, 270, 946 is 2.

Given numbers are 198, 522, 270, 946

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

Apply this formula for all numbers.

Step1:

LCM(198, 522) = 5742

GCD(198, 522) = ( 198 x 522 ) / 5742

= 198 / 522

= 198

Step2:

LCM(18, 270) = 270

GCD(18, 270) = ( 18 x 270 ) / 270

= 18 / 270

= 18

Step3:

LCM(18, 946) = 8514

GCD(18, 946) = ( 18 x 946 ) / 8514

= 18 / 946

= 18

So, Greatest Common Divisor of 198, 522, 270, 946 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 538, 128, 876
• GCD of 637, 129, 300, 350
• GCD of 552, 229, 221, 639
• GCD of 785, 457, 959, 258
• GCD of 769, 126, 983, 106

Given numbers are 198, 522, 270, 946
The greatest common divisor of numbers 198, 522, 270, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 522, 270, 946 is 2.

1. What is the GCD of 198, 522, 270, 946?

GCD of given numbers 198, 522, 270, 946 is 2

2. How to calculate the greatest common divisor of 198, 522, 270, 946?

We can find the highest common divisor of 198, 522, 270, 946 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, 522, 270, 946 i.e 2.

3. How can I use the GCD of 198, 522, 270, 946Calculator?

Out the numbers 198, 522, 270, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.