GCD of 892, 819, 361, 420 Calculator

Given Input numbers are 892, 819, 361, 420

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

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

GCD of numbers is the greatest common divisor

So, the GCD (892, 819, 361, 420) = 1.

Given numbers are 892, 819, 361, 420

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 361 are 19 x 19

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

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

Given numbers are 892, 819, 361, 420

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

Apply this formula for all numbers.

Step1:

LCM(892, 819) = 730548

GCD(892, 819) = ( 892 x 819 ) / 730548

= 892 / 819

= 892

Step2:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 892, 819, 361, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 987, 495, 265
• GCD of 225, 598, 570, 367
• GCD of 832, 538, 401, 640
• GCD of 711, 178, 214, 233
• GCD of 851, 932, 519, 584

Given numbers are 892, 819, 361, 420
The greatest common divisor of numbers 892, 819, 361, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 819, 361, 420 is 1.

1. What is the GCD of 892, 819, 361, 420?

GCD of given numbers 892, 819, 361, 420 is 1

2. How to calculate the greatest common divisor of 892, 819, 361, 420?

We can find the highest common divisor of 892, 819, 361, 420 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 892, 819, 361, 420 i.e 1.

3. How can I use the GCD of 892, 819, 361, 420Calculator?

Out the numbers 892, 819, 361, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.