GCD of 872, 118, 198 Calculator

Given Input numbers are 872, 118, 198

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

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 (872, 118, 198) = 2.

Given numbers are 872, 118, 198

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 118 are 2 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 872, 118, 198 is 2.

Given numbers are 872, 118, 198

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

Apply this formula for all numbers.

Step1:

LCM(872, 118) = 51448

GCD(872, 118) = ( 872 x 118 ) / 51448

= 872 / 118

= 872

Step2:

LCM(2, 198) = 198

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

= 2 / 198

= 2

So, Greatest Common Divisor of 872, 118, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 567, 237
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Given numbers are 872, 118, 198
The greatest common divisor of numbers 872, 118, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 118, 198 is 2.

1. What is the GCD of 872, 118, 198?

GCD of given numbers 872, 118, 198 is 2

2. How to calculate the greatest common divisor of 872, 118, 198?

We can find the highest common divisor of 872, 118, 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 872, 118, 198 i.e 2.

3. How can I use the GCD of 872, 118, 198Calculator?

Out the numbers 872, 118, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.