GCD of 112, 238, 413 Calculator

Given Input numbers are 112, 238, 413

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 238 :

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

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

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

GCD of numbers is the greatest common divisor

So, the GCD (112, 238, 413) = 7.

Given numbers are 112, 238, 413

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 238 are 2 x 7 x 17

Prime factors of 413 are 7 x 59

The highest common occurrence is 7¹

Therefore, GCD of 112, 238, 413 is 7.

Given numbers are 112, 238, 413

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

Apply this formula for all numbers.

Step1:

LCM(112, 238) = 1904

GCD(112, 238) = ( 112 x 238 ) / 1904

= 112 / 238

= 112

Step2:

LCM(14, 413) = 826

GCD(14, 413) = ( 14 x 413 ) / 826

= 14 / 413

= 14

So, Greatest Common Divisor of 112, 238, 413 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 731, 690
• GCD of 350, 633, 534
• GCD of 148, 875, 877
• GCD of 222, 451, 934
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Given numbers are 112, 238, 413
The greatest common divisor of numbers 112, 238, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 238, 413 is 7.

1. What is the GCD of 112, 238, 413?

GCD of given numbers 112, 238, 413 is 7

2. How to calculate the greatest common divisor of 112, 238, 413?

We can find the highest common divisor of 112, 238, 413 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, 238, 413 i.e 7.

3. How can I use the GCD of 112, 238, 413Calculator?

Out the numbers 112, 238, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.