GCD of 207, 996, 189, 438 Calculator

Given Input numbers are 207, 996, 189, 438

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (207, 996, 189, 438) = 3.

Given numbers are 207, 996, 189, 438

The list of prime factors of all numbers are

Prime factors of 207 are 3 x 3 x 23

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 207, 996, 189, 438 is 3.

Given numbers are 207, 996, 189, 438

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

Apply this formula for all numbers.

Step1:

LCM(207, 996) = 68724

GCD(207, 996) = ( 207 x 996 ) / 68724

= 207 / 996

= 207

Step2:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

Step3:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3

So, Greatest Common Divisor of 207, 996, 189, 438 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 371, 365, 251
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• GCD of 451, 307, 145, 320

Given numbers are 207, 996, 189, 438
The greatest common divisor of numbers 207, 996, 189, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 996, 189, 438 is 3.

1. What is the GCD of 207, 996, 189, 438?

GCD of given numbers 207, 996, 189, 438 is 3

2. How to calculate the greatest common divisor of 207, 996, 189, 438?

We can find the highest common divisor of 207, 996, 189, 438 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, 996, 189, 438 i.e 3.

3. How can I use the GCD of 207, 996, 189, 438Calculator?

Out the numbers 207, 996, 189, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.