GCD of 198, 718, 133, 414 Calculator

Given Input numbers are 198, 718, 133, 414

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 718 :

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

1, 2, 359, 718

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (198, 718, 133, 414) = 1.

Given numbers are 198, 718, 133, 414

The list of prime factors of all numbers are

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

Prime factors of 718 are 2 x 359

Prime factors of 133 are 7 x 19

Prime factors of 414 are 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 198, 718, 133, 414

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

Apply this formula for all numbers.

Step1:

LCM(198, 718) = 71082

GCD(198, 718) = ( 198 x 718 ) / 71082

= 198 / 718

= 198

Step2:

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

= 2 / 133

= 2

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 198, 718, 133, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 255, 419, 987
• GCD of 244, 423, 217, 260
• GCD of 598, 514, 647, 322
• GCD of 343, 162, 599, 700
• GCD of 763, 375, 680, 482

Given numbers are 198, 718, 133, 414
The greatest common divisor of numbers 198, 718, 133, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 718, 133, 414 is 1.

1. What is the GCD of 198, 718, 133, 414?

GCD of given numbers 198, 718, 133, 414 is 1

2. How to calculate the greatest common divisor of 198, 718, 133, 414?

We can find the highest common divisor of 198, 718, 133, 414 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, 718, 133, 414 i.e 1.

3. How can I use the GCD of 198, 718, 133, 414Calculator?

Out the numbers 198, 718, 133, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.