GCD of 111, 789, 975 Calculator

Given Input numbers are 111, 789, 975

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 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (111, 789, 975) = 3.

Given numbers are 111, 789, 975

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

Prime factors of 789 are 3 x 263

Prime factors of 975 are 3 x 5 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 111, 789, 975 is 3.

Given numbers are 111, 789, 975

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

Apply this formula for all numbers.

Step1:

LCM(111, 789) = 29193

GCD(111, 789) = ( 111 x 789 ) / 29193

= 111 / 789

= 111

Step2:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

So, Greatest Common Divisor of 111, 789, 975 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 876, 103
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Given numbers are 111, 789, 975
The greatest common divisor of numbers 111, 789, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 789, 975 is 3.

1. What is the GCD of 111, 789, 975?

GCD of given numbers 111, 789, 975 is 3

2. How to calculate the greatest common divisor of 111, 789, 975?

We can find the highest common divisor of 111, 789, 975 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, 789, 975 i.e 3.

3. How can I use the GCD of 111, 789, 975Calculator?

Out the numbers 111, 789, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.