GCD of 198, 975, 966, 428 Calculator

Given Input numbers are 198, 975, 966, 428

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (198, 975, 966, 428) = 1.

Given numbers are 198, 975, 966, 428

The list of prime factors of all numbers are

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

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 428 are 2 x 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 198, 975, 966, 428

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

Apply this formula for all numbers.

Step1:

LCM(198, 975) = 64350

GCD(198, 975) = ( 198 x 975 ) / 64350

= 198 / 975

= 198

Step2:

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

= 3 / 966

= 3

Step3:

LCM(3, 428) = 1284

GCD(3, 428) = ( 3 x 428 ) / 1284

= 3 / 428

= 3

So, Greatest Common Divisor of 198, 975, 966, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 959, 363, 399
• GCD of 449, 305, 234, 802
• GCD of 212, 660, 229, 551
• GCD of 485, 637, 543, 287
• GCD of 334, 684, 215, 715

Given numbers are 198, 975, 966, 428
The greatest common divisor of numbers 198, 975, 966, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 975, 966, 428 is 1.

1. What is the GCD of 198, 975, 966, 428?

GCD of given numbers 198, 975, 966, 428 is 1

2. How to calculate the greatest common divisor of 198, 975, 966, 428?

We can find the highest common divisor of 198, 975, 966, 428 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, 975, 966, 428 i.e 1.

3. How can I use the GCD of 198, 975, 966, 428Calculator?

Out the numbers 198, 975, 966, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.