GCD of 382, 413, 687, 309 Calculator

Given Input numbers are 382, 413, 687, 309

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

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 (382, 413, 687, 309) = 1.

Given numbers are 382, 413, 687, 309

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 413 are 7 x 59

Prime factors of 687 are 3 x 229

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 382, 413, 687, 309

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

Apply this formula for all numbers.

Step1:

LCM(382, 413) = 157766

GCD(382, 413) = ( 382 x 413 ) / 157766

= 382 / 413

= 382

Step2:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

Step3:

LCM(1, 309) = 309

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

= 1 / 309

= 1

So, Greatest Common Divisor of 382, 413, 687, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 729, 674, 834
• GCD of 482, 819, 899, 625
• GCD of 643, 836, 407, 567
• GCD of 955, 420, 410, 678
• GCD of 340, 801, 738, 804

Given numbers are 382, 413, 687, 309
The greatest common divisor of numbers 382, 413, 687, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 413, 687, 309 is 1.

1. What is the GCD of 382, 413, 687, 309?

GCD of given numbers 382, 413, 687, 309 is 1

2. How to calculate the greatest common divisor of 382, 413, 687, 309?

We can find the highest common divisor of 382, 413, 687, 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 382, 413, 687, 309 i.e 1.

3. How can I use the GCD of 382, 413, 687, 309Calculator?

Out the numbers 382, 413, 687, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.