GCD of 207, 984, 123 Calculator

Given Input numbers are 207, 984, 123

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

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 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 (207, 984, 123) = 3.

Given numbers are 207, 984, 123

The list of prime factors of all numbers are

Prime factors of 207 are 3 x 3 x 23

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

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 207, 984, 123 is 3.

Given numbers are 207, 984, 123

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

Apply this formula for all numbers.

Step1:

LCM(207, 984) = 67896

GCD(207, 984) = ( 207 x 984 ) / 67896

= 207 / 984

= 207

Step2:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

So, Greatest Common Divisor of 207, 984, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 640, 797
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• GCD of 175, 963, 727
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Given numbers are 207, 984, 123
The greatest common divisor of numbers 207, 984, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 984, 123 is 3.

1. What is the GCD of 207, 984, 123?

GCD of given numbers 207, 984, 123 is 3

2. How to calculate the greatest common divisor of 207, 984, 123?

We can find the highest common divisor of 207, 984, 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 207, 984, 123 i.e 3.

3. How can I use the GCD of 207, 984, 123Calculator?

Out the numbers 207, 984, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.