GCD of 112, 374, 238 Calculator

Given Input numbers are 112, 374, 238

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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 (112, 374, 238) = 2.

Given numbers are 112, 374, 238

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 374 are 2 x 11 x 17

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 112, 374, 238 is 2.

Given numbers are 112, 374, 238

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

Apply this formula for all numbers.

Step1:

LCM(112, 374) = 20944

GCD(112, 374) = ( 112 x 374 ) / 20944

= 112 / 374

= 112

Step2:

LCM(2, 238) = 238

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

= 2 / 238

= 2

So, Greatest Common Divisor of 112, 374, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 824, 271
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Given numbers are 112, 374, 238
The greatest common divisor of numbers 112, 374, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 374, 238 is 2.

1. What is the GCD of 112, 374, 238?

GCD of given numbers 112, 374, 238 is 2

2. How to calculate the greatest common divisor of 112, 374, 238?

We can find the highest common divisor of 112, 374, 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 112, 374, 238 i.e 2.

3. How can I use the GCD of 112, 374, 238Calculator?

Out the numbers 112, 374, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.