GCD of 984, 114, 162, 123 Calculator

Given Input numbers are 984, 114, 162, 123

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (984, 114, 162, 123) = 3.

Given numbers are 984, 114, 162, 123

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 114 are 2 x 3 x 19

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 984, 114, 162, 123 is 3.

Given numbers are 984, 114, 162, 123

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

Apply this formula for all numbers.

Step1:

LCM(984, 114) = 18696

GCD(984, 114) = ( 984 x 114 ) / 18696

= 984 / 114

= 984

Step2:

LCM(6, 162) = 162

GCD(6, 162) = ( 6 x 162 ) / 162

= 6 / 162

= 6

Step3:

LCM(6, 123) = 246

GCD(6, 123) = ( 6 x 123 ) / 246

= 6 / 123

= 6

So, Greatest Common Divisor of 984, 114, 162, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 635, 148, 156
• GCD of 693, 537, 661, 323
• GCD of 235, 104, 681, 636
• GCD of 663, 671, 846, 565
• GCD of 604, 391, 424, 979

Given numbers are 984, 114, 162, 123
The greatest common divisor of numbers 984, 114, 162, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 114, 162, 123 is 3.

1. What is the GCD of 984, 114, 162, 123?

GCD of given numbers 984, 114, 162, 123 is 3

2. How to calculate the greatest common divisor of 984, 114, 162, 123?

We can find the highest common divisor of 984, 114, 162, 123 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 984, 114, 162, 123 i.e 3.

3. How can I use the GCD of 984, 114, 162, 123Calculator?

Out the numbers 984, 114, 162, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.