GCD of 814, 475, 138, 442 Calculator

Given Input numbers are 814, 475, 138, 442

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 442 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (814, 475, 138, 442) = 1.

Given numbers are 814, 475, 138, 442

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 475 are 5 x 5 x 19

Prime factors of 138 are 2 x 3 x 23

Prime factors of 442 are 2 x 13 x 17

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

Given numbers are 814, 475, 138, 442

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

Apply this formula for all numbers.

Step1:

LCM(814, 475) = 386650

GCD(814, 475) = ( 814 x 475 ) / 386650

= 814 / 475

= 814

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

Step3:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1

So, Greatest Common Divisor of 814, 475, 138, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 103, 622, 111
• GCD of 392, 933, 379, 887
• GCD of 337, 561, 734, 614
• GCD of 832, 780, 448, 878
• GCD of 968, 151, 519, 751

Given numbers are 814, 475, 138, 442
The greatest common divisor of numbers 814, 475, 138, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 475, 138, 442 is 1.

1. What is the GCD of 814, 475, 138, 442?

GCD of given numbers 814, 475, 138, 442 is 1

2. How to calculate the greatest common divisor of 814, 475, 138, 442?

We can find the highest common divisor of 814, 475, 138, 442 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 814, 475, 138, 442 i.e 1.

3. How can I use the GCD of 814, 475, 138, 442Calculator?

Out the numbers 814, 475, 138, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.