GCD of 105, 442, 585, 372 Calculator

Given Input numbers are 105, 442, 585, 372

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 442 :

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

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (105, 442, 585, 372) = 1.

Given numbers are 105, 442, 585, 372

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 442 are 2 x 13 x 17

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 372 are 2 x 2 x 3 x 31

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

Given numbers are 105, 442, 585, 372

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

Apply this formula for all numbers.

Step1:

LCM(105, 442) = 46410

GCD(105, 442) = ( 105 x 442 ) / 46410

= 105 / 442

= 105

Step2:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

Step3:

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

= 1 / 372

= 1

So, Greatest Common Divisor of 105, 442, 585, 372 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 840, 168, 473
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• GCD of 752, 188, 942, 891
• GCD of 772, 424, 899, 131
• GCD of 432, 109, 517, 771

Given numbers are 105, 442, 585, 372
The greatest common divisor of numbers 105, 442, 585, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 442, 585, 372 is 1.

1. What is the GCD of 105, 442, 585, 372?

GCD of given numbers 105, 442, 585, 372 is 1

2. How to calculate the greatest common divisor of 105, 442, 585, 372?

We can find the highest common divisor of 105, 442, 585, 372 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 105, 442, 585, 372 i.e 1.

3. How can I use the GCD of 105, 442, 585, 372Calculator?

Out the numbers 105, 442, 585, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.