GCD of 538, 872, 104, 116 Calculator

Given Input numbers are 538, 872, 104, 116

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 104 :

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

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

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 (538, 872, 104, 116) = 2.

Given numbers are 538, 872, 104, 116

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 872 are 2 x 2 x 2 x 109

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

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 538, 872, 104, 116 is 2.

Given numbers are 538, 872, 104, 116

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

Apply this formula for all numbers.

Step1:

LCM(538, 872) = 234568

GCD(538, 872) = ( 538 x 872 ) / 234568

= 538 / 872

= 538

Step2:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

Step3:

LCM(2, 116) = 116

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

= 2 / 116

= 2

So, Greatest Common Divisor of 538, 872, 104, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 901, 478, 109
• GCD of 119, 648, 547, 768
• GCD of 255, 734, 910, 525
• GCD of 238, 365, 373, 379
• GCD of 205, 261, 872, 388

Given numbers are 538, 872, 104, 116
The greatest common divisor of numbers 538, 872, 104, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 872, 104, 116 is 2.

1. What is the GCD of 538, 872, 104, 116?

GCD of given numbers 538, 872, 104, 116 is 2

2. How to calculate the greatest common divisor of 538, 872, 104, 116?

We can find the highest common divisor of 538, 872, 104, 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 538, 872, 104, 116 i.e 2.

3. How can I use the GCD of 538, 872, 104, 116Calculator?

Out the numbers 538, 872, 104, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.