GCD of 382, 784, 349, 536 Calculator

Given Input numbers are 382, 784, 349, 536

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

GCD of numbers is the greatest common divisor

So, the GCD (382, 784, 349, 536) = 1.

Given numbers are 382, 784, 349, 536

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 349 are 349

Prime factors of 536 are 2 x 2 x 2 x 67

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

Given numbers are 382, 784, 349, 536

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

Apply this formula for all numbers.

Step1:

LCM(382, 784) = 149744

GCD(382, 784) = ( 382 x 784 ) / 149744

= 382 / 784

= 382

Step2:

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

= 2 / 349

= 2

Step3:

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

= 1 / 536

= 1

So, Greatest Common Divisor of 382, 784, 349, 536 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 391, 674, 229
• GCD of 830, 602, 326, 227
• GCD of 552, 638, 636, 989
• GCD of 419, 971, 624, 931
• GCD of 294, 575, 537, 422

Given numbers are 382, 784, 349, 536
The greatest common divisor of numbers 382, 784, 349, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 784, 349, 536 is 1.

1. What is the GCD of 382, 784, 349, 536?

GCD of given numbers 382, 784, 349, 536 is 1

2. How to calculate the greatest common divisor of 382, 784, 349, 536?

We can find the highest common divisor of 382, 784, 349, 536 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, 784, 349, 536 i.e 1.

3. How can I use the GCD of 382, 784, 349, 536Calculator?

Out the numbers 382, 784, 349, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.