GCD of 852, 128, 718, 198 Calculator

Given Input numbers are 852, 128, 718, 198

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

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 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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 (852, 128, 718, 198) = 2.

Given numbers are 852, 128, 718, 198

The list of prime factors of all numbers are

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

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 718 are 2 x 359

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

The highest common occurrence is 2¹

Therefore, GCD of 852, 128, 718, 198 is 2.

Given numbers are 852, 128, 718, 198

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

Apply this formula for all numbers.

Step1:

LCM(852, 128) = 27264

GCD(852, 128) = ( 852 x 128 ) / 27264

= 852 / 128

= 852

Step2:

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

= 4 / 718

= 4

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 852, 128, 718, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 282, 713, 976
• GCD of 974, 195, 971, 807
• GCD of 970, 784, 131, 446
• GCD of 353, 440, 415, 203
• GCD of 693, 304, 295, 229

Given numbers are 852, 128, 718, 198
The greatest common divisor of numbers 852, 128, 718, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 128, 718, 198 is 2.

1. What is the GCD of 852, 128, 718, 198?

GCD of given numbers 852, 128, 718, 198 is 2

2. How to calculate the greatest common divisor of 852, 128, 718, 198?

We can find the highest common divisor of 852, 128, 718, 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 852, 128, 718, 198 i.e 2.

3. How can I use the GCD of 852, 128, 718, 198Calculator?

Out the numbers 852, 128, 718, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.