GCD of 372, 852, 832, 198 Calculator

Given Input numbers are 372, 852, 832, 198

In the factoring method, we have to find the divisors of all numbers

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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

GCD of numbers is the greatest common divisor

So, the GCD (372, 852, 832, 198) = 2.

Given numbers are 372, 852, 832, 198

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 372, 852, 832, 198 is 2.

Given numbers are 372, 852, 832, 198

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

Apply this formula for all numbers.

Step1:

LCM(372, 852) = 26412

GCD(372, 852) = ( 372 x 852 ) / 26412

= 372 / 852

= 372

Step2:

LCM(12, 832) = 2496

GCD(12, 832) = ( 12 x 832 ) / 2496

= 12 / 832

= 12

Step3:

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

= 4 / 198

= 4

So, Greatest Common Divisor of 372, 852, 832, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 183, 389, 940
• GCD of 537, 453, 281, 344
• GCD of 914, 368, 427, 982
• GCD of 653, 673, 264, 905
• GCD of 757, 613, 643, 213

Given numbers are 372, 852, 832, 198
The greatest common divisor of numbers 372, 852, 832, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 852, 832, 198 is 2.

1. What is the GCD of 372, 852, 832, 198?

GCD of given numbers 372, 852, 832, 198 is 2

2. How to calculate the greatest common divisor of 372, 852, 832, 198?

We can find the highest common divisor of 372, 852, 832, 198 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 372, 852, 832, 198 i.e 2.

3. How can I use the GCD of 372, 852, 832, 198Calculator?

Out the numbers 372, 852, 832, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.