GCD of 238, 504, 622, 172 Calculator

Given Input numbers are 238, 504, 622, 172

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (238, 504, 622, 172) = 2.

Given numbers are 238, 504, 622, 172

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 622 are 2 x 311

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 238, 504, 622, 172 is 2.

Given numbers are 238, 504, 622, 172

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

Apply this formula for all numbers.

Step1:

LCM(238, 504) = 8568

GCD(238, 504) = ( 238 x 504 ) / 8568

= 238 / 504

= 238

Step2:

LCM(14, 622) = 4354

GCD(14, 622) = ( 14 x 622 ) / 4354

= 14 / 622

= 14

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 238, 504, 622, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 397, 376, 537
• GCD of 525, 224, 476, 253
• GCD of 170, 232, 803, 896
• GCD of 860, 406, 555, 124
• GCD of 382, 385, 264, 466

Given numbers are 238, 504, 622, 172
The greatest common divisor of numbers 238, 504, 622, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 504, 622, 172 is 2.

1. What is the GCD of 238, 504, 622, 172?

GCD of given numbers 238, 504, 622, 172 is 2

2. How to calculate the greatest common divisor of 238, 504, 622, 172?

We can find the highest common divisor of 238, 504, 622, 172 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, 504, 622, 172 i.e 2.

3. How can I use the GCD of 238, 504, 622, 172Calculator?

Out the numbers 238, 504, 622, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.