GCD of 111, 723, 138 Calculator

Given Input numbers are 111, 723, 138

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 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (111, 723, 138) = 3.

Given numbers are 111, 723, 138

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

Prime factors of 723 are 3 x 241

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 111, 723, 138 is 3.

Given numbers are 111, 723, 138

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

Apply this formula for all numbers.

Step1:

LCM(111, 723) = 26751

GCD(111, 723) = ( 111 x 723 ) / 26751

= 111 / 723

= 111

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

So, Greatest Common Divisor of 111, 723, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 290, 430
• GCD of 310, 662, 990
• GCD of 162, 669, 674
• GCD of 757, 512, 417
• GCD of 777, 738, 140

Given numbers are 111, 723, 138
The greatest common divisor of numbers 111, 723, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 723, 138 is 3.

1. What is the GCD of 111, 723, 138?

GCD of given numbers 111, 723, 138 is 3

2. How to calculate the greatest common divisor of 111, 723, 138?

We can find the highest common divisor of 111, 723, 138 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, 723, 138 i.e 3.

3. How can I use the GCD of 111, 723, 138Calculator?

Out the numbers 111, 723, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.