GCD of 794, 508, 116, 178 Calculator

Given Input numbers are 794, 508, 116, 178

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

Divisors of 794 :

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

1, 2, 397, 794

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (794, 508, 116, 178) = 2.

Given numbers are 794, 508, 116, 178

The list of prime factors of all numbers are

Prime factors of 794 are 2 x 397

Prime factors of 508 are 2 x 2 x 127

Prime factors of 116 are 2 x 2 x 29

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 794, 508, 116, 178 is 2.

Given numbers are 794, 508, 116, 178

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

Apply this formula for all numbers.

Step1:

LCM(794, 508) = 201676

GCD(794, 508) = ( 794 x 508 ) / 201676

= 794 / 508

= 794

Step2:

LCM(2, 116) = 116

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

= 2 / 116

= 2

Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

So, Greatest Common Divisor of 794, 508, 116, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 635, 116, 533
• GCD of 826, 600, 138, 764
• GCD of 331, 419, 799, 727
• GCD of 583, 469, 585, 909
• GCD of 132, 401, 389, 386

Given numbers are 794, 508, 116, 178
The greatest common divisor of numbers 794, 508, 116, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 794, 508, 116, 178 is 2.

1. What is the GCD of 794, 508, 116, 178?

GCD of given numbers 794, 508, 116, 178 is 2

2. How to calculate the greatest common divisor of 794, 508, 116, 178?

We can find the highest common divisor of 794, 508, 116, 178 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 794, 508, 116, 178 i.e 2.

3. How can I use the GCD of 794, 508, 116, 178Calculator?

Out the numbers 794, 508, 116, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.