GCD of 182, 420, 243, 309 Calculator

Given Input numbers are 182, 420, 243, 309

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

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

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 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (182, 420, 243, 309) = 1.

Given numbers are 182, 420, 243, 309

The list of prime factors of all numbers are

Prime factors of 182 are 2 x 7 x 13

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

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 309 are 3 x 103

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

Given numbers are 182, 420, 243, 309

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

Apply this formula for all numbers.

Step1:

LCM(182, 420) = 5460

GCD(182, 420) = ( 182 x 420 ) / 5460

= 182 / 420

= 182

Step2:

LCM(14, 243) = 3402

GCD(14, 243) = ( 14 x 243 ) / 3402

= 14 / 243

= 14

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 182, 420, 243, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 937, 562, 472
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• GCD of 964, 773, 725, 252
• GCD of 236, 998, 742, 199
• GCD of 252, 142, 308, 423

Given numbers are 182, 420, 243, 309
The greatest common divisor of numbers 182, 420, 243, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 420, 243, 309 is 1.

1. What is the GCD of 182, 420, 243, 309?

GCD of given numbers 182, 420, 243, 309 is 1

2. How to calculate the greatest common divisor of 182, 420, 243, 309?

We can find the highest common divisor of 182, 420, 243, 309 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 182, 420, 243, 309 i.e 1.

3. How can I use the GCD of 182, 420, 243, 309Calculator?

Out the numbers 182, 420, 243, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.