GCD of 838, 166, 200, 288 Calculator

Given Input numbers are 838, 166, 200, 288

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 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (838, 166, 200, 288) = 2.

Given numbers are 838, 166, 200, 288

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 166 are 2 x 83

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 838, 166, 200, 288 is 2.

Given numbers are 838, 166, 200, 288

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

Apply this formula for all numbers.

Step1:

LCM(838, 166) = 69554

GCD(838, 166) = ( 838 x 166 ) / 69554

= 838 / 166

= 838

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 838, 166, 200, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 598, 499, 762
• GCD of 287, 587, 624, 681
• GCD of 932, 145, 378, 840
• GCD of 909, 531, 660, 827
• GCD of 274, 120, 978, 259

Given numbers are 838, 166, 200, 288
The greatest common divisor of numbers 838, 166, 200, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 166, 200, 288 is 2.

1. What is the GCD of 838, 166, 200, 288?

GCD of given numbers 838, 166, 200, 288 is 2

2. How to calculate the greatest common divisor of 838, 166, 200, 288?

We can find the highest common divisor of 838, 166, 200, 288 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, 166, 200, 288 i.e 2.

3. How can I use the GCD of 838, 166, 200, 288Calculator?

Out the numbers 838, 166, 200, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.