GCD of 999, 110, 121, 138 Calculator

Given Input numbers are 999, 110, 121, 138

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

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 (999, 110, 121, 138) = 1.

Given numbers are 999, 110, 121, 138

The list of prime factors of all numbers are

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 110 are 2 x 5 x 11

Prime factors of 121 are 11 x 11

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 999, 110, 121, 138

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

Apply this formula for all numbers.

Step1:

LCM(999, 110) = 109890

GCD(999, 110) = ( 999 x 110 ) / 109890

= 999 / 110

= 999

Step2:

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

= 1 / 121

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 999, 110, 121, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 889, 833, 653
• GCD of 857, 842, 263, 408
• GCD of 692, 899, 272, 555
• GCD of 365, 479, 188, 367
• GCD of 292, 469, 581, 563

Given numbers are 999, 110, 121, 138
The greatest common divisor of numbers 999, 110, 121, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 110, 121, 138 is 1.

1. What is the GCD of 999, 110, 121, 138?

GCD of given numbers 999, 110, 121, 138 is 1

2. How to calculate the greatest common divisor of 999, 110, 121, 138?

We can find the highest common divisor of 999, 110, 121, 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 999, 110, 121, 138 i.e 1.

3. How can I use the GCD of 999, 110, 121, 138Calculator?

Out the numbers 999, 110, 121, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.