GCD of 238, 164, 824 Calculator

Given Input numbers are 238, 164, 824

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (238, 164, 824) = 2.

Given numbers are 238, 164, 824

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 164 are 2 x 2 x 41

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 238, 164, 824 is 2.

Given numbers are 238, 164, 824

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

Apply this formula for all numbers.

Step1:

LCM(238, 164) = 19516

GCD(238, 164) = ( 238 x 164 ) / 19516

= 238 / 164

= 238

Step2:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 238, 164, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 495, 680
• GCD of 999, 401, 721
• GCD of 943, 557, 633
• GCD of 364, 691, 981
• GCD of 648, 395, 609

Given numbers are 238, 164, 824
The greatest common divisor of numbers 238, 164, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 164, 824 is 2.

1. What is the GCD of 238, 164, 824?

GCD of given numbers 238, 164, 824 is 2

2. How to calculate the greatest common divisor of 238, 164, 824?

We can find the highest common divisor of 238, 164, 824 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 238, 164, 824 i.e 2.

3. How can I use the GCD of 238, 164, 824Calculator?

Out the numbers 238, 164, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.