GCD of 104, 852, 488, 172 Calculator

Given Input numbers are 104, 852, 488, 172

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (104, 852, 488, 172) = 4.

Given numbers are 104, 852, 488, 172

The list of prime factors of all numbers are

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

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 104, 852, 488, 172 is 4.

Given numbers are 104, 852, 488, 172

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

Apply this formula for all numbers.

Step1:

LCM(104, 852) = 22152

GCD(104, 852) = ( 104 x 852 ) / 22152

= 104 / 852

= 104

Step2:

LCM(4, 488) = 488

GCD(4, 488) = ( 4 x 488 ) / 488

= 4 / 488

= 4

Step3:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4

So, Greatest Common Divisor of 104, 852, 488, 172 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 846, 194, 879
• GCD of 111, 778, 551, 758
• GCD of 640, 248, 567, 646
• GCD of 817, 123, 804, 524
• GCD of 121, 410, 819, 520

Given numbers are 104, 852, 488, 172
The greatest common divisor of numbers 104, 852, 488, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 852, 488, 172 is 4.

1. What is the GCD of 104, 852, 488, 172?

GCD of given numbers 104, 852, 488, 172 is 4

2. How to calculate the greatest common divisor of 104, 852, 488, 172?

We can find the highest common divisor of 104, 852, 488, 172 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, 852, 488, 172 i.e 4.

3. How can I use the GCD of 104, 852, 488, 172Calculator?

Out the numbers 104, 852, 488, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.