GCD of 198, 742, 472, 180 Calculator

Given Input numbers are 198, 742, 472, 180

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (198, 742, 472, 180) = 2.

Given numbers are 198, 742, 472, 180

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 198, 742, 472, 180 is 2.

Given numbers are 198, 742, 472, 180

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

Apply this formula for all numbers.

Step1:

LCM(198, 742) = 73458

GCD(198, 742) = ( 198 x 742 ) / 73458

= 198 / 742

= 198

Step2:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 198, 742, 472, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 881, 149, 760
• GCD of 145, 253, 548, 210
• GCD of 763, 296, 838, 552
• GCD of 325, 455, 889, 114
• GCD of 612, 491, 899, 413

Given numbers are 198, 742, 472, 180
The greatest common divisor of numbers 198, 742, 472, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 742, 472, 180 is 2.

1. What is the GCD of 198, 742, 472, 180?

GCD of given numbers 198, 742, 472, 180 is 2

2. How to calculate the greatest common divisor of 198, 742, 472, 180?

We can find the highest common divisor of 198, 742, 472, 180 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, 742, 472, 180 i.e 2.

3. How can I use the GCD of 198, 742, 472, 180Calculator?

Out the numbers 198, 742, 472, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.