GCD of 382, 576, 727, 340 Calculator

Given Input numbers are 382, 576, 727, 340

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (382, 576, 727, 340) = 1.

Given numbers are 382, 576, 727, 340

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 727 are 727

Prime factors of 340 are 2 x 2 x 5 x 17

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

Given numbers are 382, 576, 727, 340

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

Apply this formula for all numbers.

Step1:

LCM(382, 576) = 110016

GCD(382, 576) = ( 382 x 576 ) / 110016

= 382 / 576

= 382

Step2:

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

= 2 / 727

= 2

Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

So, Greatest Common Divisor of 382, 576, 727, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 984, 368, 493
• GCD of 373, 253, 301, 906
• GCD of 204, 947, 520, 660
• GCD of 522, 841, 471, 904
• GCD of 357, 427, 978, 838

Given numbers are 382, 576, 727, 340
The greatest common divisor of numbers 382, 576, 727, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 576, 727, 340 is 1.

1. What is the GCD of 382, 576, 727, 340?

GCD of given numbers 382, 576, 727, 340 is 1

2. How to calculate the greatest common divisor of 382, 576, 727, 340?

We can find the highest common divisor of 382, 576, 727, 340 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, 576, 727, 340 i.e 1.

3. How can I use the GCD of 382, 576, 727, 340Calculator?

Out the numbers 382, 576, 727, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.