GCD of 345, 111, 188 Calculator

Given Input numbers are 345, 111, 188

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (345, 111, 188) = 1.

Given numbers are 345, 111, 188

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 111 are 3 x 37

Prime factors of 188 are 2 x 2 x 47

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

Given numbers are 345, 111, 188

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

Apply this formula for all numbers.

Step1:

LCM(345, 111) = 12765

GCD(345, 111) = ( 345 x 111 ) / 12765

= 345 / 111

= 345

Step2:

LCM(3, 188) = 564

GCD(3, 188) = ( 3 x 188 ) / 564

= 3 / 188

= 3

So, Greatest Common Divisor of 345, 111, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 820, 150
• GCD of 243, 421, 974
• GCD of 751, 321, 189
• GCD of 846, 910, 735
• GCD of 668, 716, 444

Given numbers are 345, 111, 188
The greatest common divisor of numbers 345, 111, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 111, 188 is 1.

1. What is the GCD of 345, 111, 188?

GCD of given numbers 345, 111, 188 is 1

2. How to calculate the greatest common divisor of 345, 111, 188?

We can find the highest common divisor of 345, 111, 188 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 345, 111, 188 i.e 1.

3. How can I use the GCD of 345, 111, 188Calculator?

Out the numbers 345, 111, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.