GCD of 438, 408, 994 Calculator

Given Input numbers are 438, 408, 994

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

Divisors of 438 :

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

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (438, 408, 994) = 2.

Given numbers are 438, 408, 994

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 438, 408, 994 is 2.

Given numbers are 438, 408, 994

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

Apply this formula for all numbers.

Step1:

LCM(438, 408) = 29784

GCD(438, 408) = ( 438 x 408 ) / 29784

= 438 / 408

= 438

Step2:

LCM(6, 994) = 2982

GCD(6, 994) = ( 6 x 994 ) / 2982

= 6 / 994

= 6

So, Greatest Common Divisor of 438, 408, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 292, 634
• GCD of 696, 358, 606
• GCD of 413, 126, 805
• GCD of 279, 589, 694
• GCD of 921, 128, 109

Given numbers are 438, 408, 994
The greatest common divisor of numbers 438, 408, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 408, 994 is 2.

1. What is the GCD of 438, 408, 994?

GCD of given numbers 438, 408, 994 is 2

2. How to calculate the greatest common divisor of 438, 408, 994?

We can find the highest common divisor of 438, 408, 994 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 438, 408, 994 i.e 2.

3. How can I use the GCD of 438, 408, 994Calculator?

Out the numbers 438, 408, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.