GCD of 838, 232, 900, 380 Calculator

Given Input numbers are 838, 232, 900, 380

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (838, 232, 900, 380) = 2.

Given numbers are 838, 232, 900, 380

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 838, 232, 900, 380 is 2.

Given numbers are 838, 232, 900, 380

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

Apply this formula for all numbers.

Step1:

LCM(838, 232) = 97208

GCD(838, 232) = ( 838 x 232 ) / 97208

= 838 / 232

= 838

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 838, 232, 900, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 273, 112, 350
• GCD of 274, 185, 443, 588
• GCD of 663, 182, 613, 452
• GCD of 421, 179, 465, 495
• GCD of 174, 237, 922, 135

Given numbers are 838, 232, 900, 380
The greatest common divisor of numbers 838, 232, 900, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 232, 900, 380 is 2.

1. What is the GCD of 838, 232, 900, 380?

GCD of given numbers 838, 232, 900, 380 is 2

2. How to calculate the greatest common divisor of 838, 232, 900, 380?

We can find the highest common divisor of 838, 232, 900, 380 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 838, 232, 900, 380 i.e 2.

3. How can I use the GCD of 838, 232, 900, 380Calculator?

Out the numbers 838, 232, 900, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.