GCD of 414, 794, 72, 116 Calculator

Given Input numbers are 414, 794, 72, 116

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 794 :

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

1, 2, 397, 794

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (414, 794, 72, 116) = 2.

Given numbers are 414, 794, 72, 116

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 794 are 2 x 397

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 414, 794, 72, 116 is 2.

Given numbers are 414, 794, 72, 116

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

Apply this formula for all numbers.

Step1:

LCM(414, 794) = 164358

GCD(414, 794) = ( 414 x 794 ) / 164358

= 414 / 794

= 414

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 414, 794, 72, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 964, 59, 832
• GCD of 696, 415, 17, 382
• GCD of 610, 250, 66, 931
• GCD of 568, 893, 27, 160
• GCD of 325, 215, 47, 435

Given numbers are 414, 794, 72, 116
The greatest common divisor of numbers 414, 794, 72, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 794, 72, 116 is 2.

1. What is the GCD of 414, 794, 72, 116?

GCD of given numbers 414, 794, 72, 116 is 2

2. How to calculate the greatest common divisor of 414, 794, 72, 116?

We can find the highest common divisor of 414, 794, 72, 116 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 414, 794, 72, 116 i.e 2.

3. How can I use the GCD of 414, 794, 72, 116Calculator?

Out the numbers 414, 794, 72, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.