GCD of 438, 442, 624, 107 Calculator

Given Input numbers are 438, 442, 624, 107

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 442 :

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

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 107 :

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

1, 107

GCD of numbers is the greatest common divisor

So, the GCD (438, 442, 624, 107) = 1.

Given numbers are 438, 442, 624, 107

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 442 are 2 x 13 x 17

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 107 are 107

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

Given numbers are 438, 442, 624, 107

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

Apply this formula for all numbers.

Step1:

LCM(438, 442) = 96798

GCD(438, 442) = ( 438 x 442 ) / 96798

= 438 / 442

= 438

Step2:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

Step3:

LCM(2, 107) = 214

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

= 2 / 107

= 2

So, Greatest Common Divisor of 438, 442, 624, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 340, 538, 171
• GCD of 691, 460, 118, 387
• GCD of 208, 501, 914, 939
• GCD of 860, 362, 389, 233
• GCD of 733, 230, 850, 749

Given numbers are 438, 442, 624, 107
The greatest common divisor of numbers 438, 442, 624, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 442, 624, 107 is 1.

1. What is the GCD of 438, 442, 624, 107?

GCD of given numbers 438, 442, 624, 107 is 1

2. How to calculate the greatest common divisor of 438, 442, 624, 107?

We can find the highest common divisor of 438, 442, 624, 107 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 438, 442, 624, 107 i.e 1.

3. How can I use the GCD of 438, 442, 624, 107Calculator?

Out the numbers 438, 442, 624, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.