GCD of 442, 990, 687, 456 Calculator

Given Input numbers are 442, 990, 687, 456

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

Divisors of 442 :

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

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (442, 990, 687, 456) = 1.

Given numbers are 442, 990, 687, 456

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 687 are 3 x 229

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Given numbers are 442, 990, 687, 456

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

Apply this formula for all numbers.

Step1:

LCM(442, 990) = 218790

GCD(442, 990) = ( 442 x 990 ) / 218790

= 442 / 990

= 442

Step2:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2

Step3:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

So, Greatest Common Divisor of 442, 990, 687, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 492, 527, 942
• GCD of 524, 691, 189, 305
• GCD of 930, 854, 929, 407
• GCD of 858, 180, 588, 158
• GCD of 378, 623, 635, 705

Given numbers are 442, 990, 687, 456
The greatest common divisor of numbers 442, 990, 687, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 990, 687, 456 is 1.

1. What is the GCD of 442, 990, 687, 456?

GCD of given numbers 442, 990, 687, 456 is 1

2. How to calculate the greatest common divisor of 442, 990, 687, 456?

We can find the highest common divisor of 442, 990, 687, 456 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 442, 990, 687, 456 i.e 1.

3. How can I use the GCD of 442, 990, 687, 456Calculator?

Out the numbers 442, 990, 687, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.