GCD of 111, 942, 231 Calculator

Given Input numbers are 111, 942, 231

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

Divisors of 111 :

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

1, 3, 37, 111

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (111, 942, 231) = 3.

Given numbers are 111, 942, 231

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

Prime factors of 942 are 2 x 3 x 157

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 111, 942, 231 is 3.

Given numbers are 111, 942, 231

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

Apply this formula for all numbers.

Step1:

LCM(111, 942) = 34854

GCD(111, 942) = ( 111 x 942 ) / 34854

= 111 / 942

= 111

Step2:

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

= 3 / 231

= 3

So, Greatest Common Divisor of 111, 942, 231 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 461, 613
• GCD of 899, 430, 112
• GCD of 794, 644, 332
• GCD of 191, 540, 683
• GCD of 561, 847, 165

Given numbers are 111, 942, 231
The greatest common divisor of numbers 111, 942, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 942, 231 is 3.

1. What is the GCD of 111, 942, 231?

GCD of given numbers 111, 942, 231 is 3

2. How to calculate the greatest common divisor of 111, 942, 231?

We can find the highest common divisor of 111, 942, 231 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 111, 942, 231 i.e 3.

3. How can I use the GCD of 111, 942, 231Calculator?

Out the numbers 111, 942, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.