GCD of 104, 182, 794, 214 Calculator

Given Input numbers are 104, 182, 794, 214

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (104, 182, 794, 214) = 2.

Given numbers are 104, 182, 794, 214

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 182 are 2 x 7 x 13

Prime factors of 794 are 2 x 397

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 104, 182, 794, 214 is 2.

Given numbers are 104, 182, 794, 214

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

Apply this formula for all numbers.

Step1:

LCM(104, 182) = 728

GCD(104, 182) = ( 104 x 182 ) / 728

= 104 / 182

= 104

Step2:

LCM(26, 794) = 10322

GCD(26, 794) = ( 26 x 794 ) / 10322

= 26 / 794

= 26

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 104, 182, 794, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 370, 313, 122
• GCD of 379, 519, 743, 149
• GCD of 579, 895, 691, 794
• GCD of 926, 352, 957, 862
• GCD of 780, 268, 346, 206

Given numbers are 104, 182, 794, 214
The greatest common divisor of numbers 104, 182, 794, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 182, 794, 214 is 2.

1. What is the GCD of 104, 182, 794, 214?

GCD of given numbers 104, 182, 794, 214 is 2

2. How to calculate the greatest common divisor of 104, 182, 794, 214?

We can find the highest common divisor of 104, 182, 794, 214 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 104, 182, 794, 214 i.e 2.

3. How can I use the GCD of 104, 182, 794, 214Calculator?

Out the numbers 104, 182, 794, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.