GCD of 112, 790, 362 Calculator

Given Input numbers are 112, 790, 362

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 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (112, 790, 362) = 2.

Given numbers are 112, 790, 362

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 790 are 2 x 5 x 79

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 112, 790, 362 is 2.

Given numbers are 112, 790, 362

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

Apply this formula for all numbers.

Step1:

LCM(112, 790) = 44240

GCD(112, 790) = ( 112 x 790 ) / 44240

= 112 / 790

= 112

Step2:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

So, Greatest Common Divisor of 112, 790, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 848, 549
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Given numbers are 112, 790, 362
The greatest common divisor of numbers 112, 790, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 790, 362 is 2.

1. What is the GCD of 112, 790, 362?

GCD of given numbers 112, 790, 362 is 2

2. How to calculate the greatest common divisor of 112, 790, 362?

We can find the highest common divisor of 112, 790, 362 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, 790, 362 i.e 2.

3. How can I use the GCD of 112, 790, 362Calculator?

Out the numbers 112, 790, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.