GCD of 112, 134, 324, 838 Calculator

Given Input numbers are 112, 134, 324, 838

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (112, 134, 324, 838) = 2.

Given numbers are 112, 134, 324, 838

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 134 are 2 x 67

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 112, 134, 324, 838 is 2.

Given numbers are 112, 134, 324, 838

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

Apply this formula for all numbers.

Step1:

LCM(112, 134) = 7504

GCD(112, 134) = ( 112 x 134 ) / 7504

= 112 / 134

= 112

Step2:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 112, 134, 324, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 981, 136, 557
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• GCD of 958, 480, 916, 630

Given numbers are 112, 134, 324, 838
The greatest common divisor of numbers 112, 134, 324, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 134, 324, 838 is 2.

1. What is the GCD of 112, 134, 324, 838?

GCD of given numbers 112, 134, 324, 838 is 2

2. How to calculate the greatest common divisor of 112, 134, 324, 838?

We can find the highest common divisor of 112, 134, 324, 838 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, 134, 324, 838 i.e 2.

3. How can I use the GCD of 112, 134, 324, 838Calculator?

Out the numbers 112, 134, 324, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.