GCD of 167, 365, 814, 400 Calculator

Given Input numbers are 167, 365, 814, 400

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

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 814 :

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

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (167, 365, 814, 400) = 1.

Given numbers are 167, 365, 814, 400

The list of prime factors of all numbers are

Prime factors of 167 are 167

Prime factors of 365 are 5 x 73

Prime factors of 814 are 2 x 11 x 37

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 167, 365, 814, 400

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

Apply this formula for all numbers.

Step1:

LCM(167, 365) = 60955

GCD(167, 365) = ( 167 x 365 ) / 60955

= 167 / 365

= 167

Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 167, 365, 814, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 106, 907, 840
• GCD of 534, 520, 470, 190
• GCD of 448, 440, 466, 548
• GCD of 510, 386, 734, 229
• GCD of 640, 420, 391, 839

Given numbers are 167, 365, 814, 400
The greatest common divisor of numbers 167, 365, 814, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 167, 365, 814, 400 is 1.

1. What is the GCD of 167, 365, 814, 400?

GCD of given numbers 167, 365, 814, 400 is 1

2. How to calculate the greatest common divisor of 167, 365, 814, 400?

We can find the highest common divisor of 167, 365, 814, 400 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 167, 365, 814, 400 i.e 1.

3. How can I use the GCD of 167, 365, 814, 400Calculator?

Out the numbers 167, 365, 814, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.