GCD of 108, 442, 107, 952 Calculator

Given Input numbers are 108, 442, 107, 952

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (108, 442, 107, 952) = 1.

Given numbers are 108, 442, 107, 952

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 442 are 2 x 13 x 17

Prime factors of 107 are 107

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 442, 107, 952

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

Apply this formula for all numbers.

Step1:

LCM(108, 442) = 23868

GCD(108, 442) = ( 108 x 442 ) / 23868

= 108 / 442

= 108

Step2:

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

= 2 / 107

= 2

Step3:

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

= 1 / 952

= 1

So, Greatest Common Divisor of 108, 442, 107, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 908, 546, 228
• GCD of 406, 492, 692, 398
• GCD of 720, 179, 960, 515
• GCD of 303, 641, 258, 187
• GCD of 747, 856, 194, 343

Given numbers are 108, 442, 107, 952
The greatest common divisor of numbers 108, 442, 107, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 442, 107, 952 is 1.

1. What is the GCD of 108, 442, 107, 952?

GCD of given numbers 108, 442, 107, 952 is 1

2. How to calculate the greatest common divisor of 108, 442, 107, 952?

We can find the highest common divisor of 108, 442, 107, 952 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 108, 442, 107, 952 i.e 1.

3. How can I use the GCD of 108, 442, 107, 952Calculator?

Out the numbers 108, 442, 107, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.