GCD of 180, 138, 198, 229 Calculator

Given Input numbers are 180, 138, 198, 229

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

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

GCD of numbers is the greatest common divisor

So, the GCD (180, 138, 198, 229) = 1.

Given numbers are 180, 138, 198, 229

The list of prime factors of all numbers are

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

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 229 are 229

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

Given numbers are 180, 138, 198, 229

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

Apply this formula for all numbers.

Step1:

LCM(180, 138) = 4140

GCD(180, 138) = ( 180 x 138 ) / 4140

= 180 / 138

= 180

Step2:

LCM(6, 198) = 198

GCD(6, 198) = ( 6 x 198 ) / 198

= 6 / 198

= 6

Step3:

LCM(6, 229) = 1374

GCD(6, 229) = ( 6 x 229 ) / 1374

= 6 / 229

= 6

So, Greatest Common Divisor of 180, 138, 198, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 987, 973, 559
• GCD of 107, 601, 860, 788
• GCD of 146, 916, 132, 388
• GCD of 233, 400, 500, 212
• GCD of 636, 454, 572, 251

Given numbers are 180, 138, 198, 229
The greatest common divisor of numbers 180, 138, 198, 229 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 138, 198, 229 is 1.

1. What is the GCD of 180, 138, 198, 229?

GCD of given numbers 180, 138, 198, 229 is 1

2. How to calculate the greatest common divisor of 180, 138, 198, 229?

We can find the highest common divisor of 180, 138, 198, 229 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 180, 138, 198, 229 i.e 1.

3. How can I use the GCD of 180, 138, 198, 229Calculator?

Out the numbers 180, 138, 198, 229 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.