GCD of 368, 614, 172, 238 Calculator

Given Input numbers are 368, 614, 172, 238

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 238 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (368, 614, 172, 238) = 2.

Given numbers are 368, 614, 172, 238

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 614 are 2 x 307

Prime factors of 172 are 2 x 2 x 43

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 368, 614, 172, 238 is 2.

Given numbers are 368, 614, 172, 238

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

Apply this formula for all numbers.

Step1:

LCM(368, 614) = 112976

GCD(368, 614) = ( 368 x 614 ) / 112976

= 368 / 614

= 368

Step2:

LCM(2, 172) = 172

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

= 2 / 172

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 368, 614, 172, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 935, 317, 226
• GCD of 702, 222, 120, 548
• GCD of 525, 664, 707, 859
• GCD of 461, 550, 171, 294
• GCD of 177, 953, 116, 644

Given numbers are 368, 614, 172, 238
The greatest common divisor of numbers 368, 614, 172, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 614, 172, 238 is 2.

1. What is the GCD of 368, 614, 172, 238?

GCD of given numbers 368, 614, 172, 238 is 2

2. How to calculate the greatest common divisor of 368, 614, 172, 238?

We can find the highest common divisor of 368, 614, 172, 238 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 368, 614, 172, 238 i.e 2.

3. How can I use the GCD of 368, 614, 172, 238Calculator?

Out the numbers 368, 614, 172, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.