GCD of 135, 717, 164, 198 Calculator

Given Input numbers are 135, 717, 164, 198

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

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 (135, 717, 164, 198) = 1.

Given numbers are 135, 717, 164, 198

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 717 are 3 x 239

Prime factors of 164 are 2 x 2 x 41

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

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

Given numbers are 135, 717, 164, 198

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

Apply this formula for all numbers.

Step1:

LCM(135, 717) = 32265

GCD(135, 717) = ( 135 x 717 ) / 32265

= 135 / 717

= 135

Step2:

LCM(3, 164) = 492

GCD(3, 164) = ( 3 x 164 ) / 492

= 3 / 164

= 3

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 135, 717, 164, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 373, 716, 150
• GCD of 525, 552, 662, 785
• GCD of 661, 862, 170, 888
• GCD of 795, 832, 319, 297
• GCD of 523, 266, 986, 725

Given numbers are 135, 717, 164, 198
The greatest common divisor of numbers 135, 717, 164, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 717, 164, 198 is 1.

1. What is the GCD of 135, 717, 164, 198?

GCD of given numbers 135, 717, 164, 198 is 1

2. How to calculate the greatest common divisor of 135, 717, 164, 198?

We can find the highest common divisor of 135, 717, 164, 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 135, 717, 164, 198 i.e 1.

3. How can I use the GCD of 135, 717, 164, 198Calculator?

Out the numbers 135, 717, 164, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.