GCD of 438, 840, 423 Calculator

Given Input numbers are 438, 840, 423

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (438, 840, 423) = 3.

Given numbers are 438, 840, 423

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 438, 840, 423 is 3.

Given numbers are 438, 840, 423

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

Apply this formula for all numbers.

Step1:

LCM(438, 840) = 61320

GCD(438, 840) = ( 438 x 840 ) / 61320

= 438 / 840

= 438

Step2:

LCM(6, 423) = 846

GCD(6, 423) = ( 6 x 423 ) / 846

= 6 / 423

= 6

So, Greatest Common Divisor of 438, 840, 423 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 819, 331
• GCD of 293, 700, 878
• GCD of 504, 338, 808
• GCD of 536, 272, 101
• GCD of 974, 805, 586

Given numbers are 438, 840, 423
The greatest common divisor of numbers 438, 840, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 840, 423 is 3.

1. What is the GCD of 438, 840, 423?

GCD of given numbers 438, 840, 423 is 3

2. How to calculate the greatest common divisor of 438, 840, 423?

We can find the highest common divisor of 438, 840, 423 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, 840, 423 i.e 3.

3. How can I use the GCD of 438, 840, 423Calculator?

Out the numbers 438, 840, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.