GCD of 438, 836, 290, 420 Calculator

Given Input numbers are 438, 836, 290, 420

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 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (438, 836, 290, 420) = 2.

Given numbers are 438, 836, 290, 420

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 290 are 2 x 5 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 438, 836, 290, 420 is 2.

Given numbers are 438, 836, 290, 420

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

Apply this formula for all numbers.

Step1:

LCM(438, 836) = 183084

GCD(438, 836) = ( 438 x 836 ) / 183084

= 438 / 836

= 438

Step2:

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

= 2 / 290

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 438, 836, 290, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 947, 498, 987
• GCD of 837, 392, 106, 285
• GCD of 439, 935, 700, 187
• GCD of 524, 804, 140, 787
• GCD of 812, 484, 387, 250

Given numbers are 438, 836, 290, 420
The greatest common divisor of numbers 438, 836, 290, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 836, 290, 420 is 2.

1. What is the GCD of 438, 836, 290, 420?

GCD of given numbers 438, 836, 290, 420 is 2

2. How to calculate the greatest common divisor of 438, 836, 290, 420?

We can find the highest common divisor of 438, 836, 290, 420 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, 836, 290, 420 i.e 2.

3. How can I use the GCD of 438, 836, 290, 420Calculator?

Out the numbers 438, 836, 290, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.