GCD of 198, 818, 870, 172 Calculator

Given Input numbers are 198, 818, 870, 172

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 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (198, 818, 870, 172) = 2.

Given numbers are 198, 818, 870, 172

The list of prime factors of all numbers are

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

Prime factors of 818 are 2 x 409

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 198, 818, 870, 172 is 2.

Given numbers are 198, 818, 870, 172

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

Apply this formula for all numbers.

Step1:

LCM(198, 818) = 80982

GCD(198, 818) = ( 198 x 818 ) / 80982

= 198 / 818

= 198

Step2:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 198, 818, 870, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 858, 152, 632
• GCD of 327, 963, 468, 902
• GCD of 984, 867, 506, 170
• GCD of 891, 986, 167, 386
• GCD of 389, 419, 120, 672

Given numbers are 198, 818, 870, 172
The greatest common divisor of numbers 198, 818, 870, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 818, 870, 172 is 2.

1. What is the GCD of 198, 818, 870, 172?

GCD of given numbers 198, 818, 870, 172 is 2

2. How to calculate the greatest common divisor of 198, 818, 870, 172?

We can find the highest common divisor of 198, 818, 870, 172 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, 818, 870, 172 i.e 2.

3. How can I use the GCD of 198, 818, 870, 172Calculator?

Out the numbers 198, 818, 870, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.