GCD of 363, 420, 814, 168 Calculator

Given Input numbers are 363, 420, 814, 168

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 814 :

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

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (363, 420, 814, 168) = 1.

Given numbers are 363, 420, 814, 168

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 814 are 2 x 11 x 37

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

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

Given numbers are 363, 420, 814, 168

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

Apply this formula for all numbers.

Step1:

LCM(363, 420) = 50820

GCD(363, 420) = ( 363 x 420 ) / 50820

= 363 / 420

= 363

Step2:

LCM(3, 814) = 2442

GCD(3, 814) = ( 3 x 814 ) / 2442

= 3 / 814

= 3

Step3:

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

= 1 / 168

= 1

So, Greatest Common Divisor of 363, 420, 814, 168 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 737, 176, 115
• GCD of 586, 942, 965, 131
• GCD of 182, 488, 676, 743
• GCD of 252, 969, 659, 551
• GCD of 823, 764, 899, 679

Given numbers are 363, 420, 814, 168
The greatest common divisor of numbers 363, 420, 814, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 420, 814, 168 is 1.

1. What is the GCD of 363, 420, 814, 168?

GCD of given numbers 363, 420, 814, 168 is 1

2. How to calculate the greatest common divisor of 363, 420, 814, 168?

We can find the highest common divisor of 363, 420, 814, 168 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 363, 420, 814, 168 i.e 1.

3. How can I use the GCD of 363, 420, 814, 168Calculator?

Out the numbers 363, 420, 814, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.