GCD of 364, 784, 815, 523 Calculator

Given Input numbers are 364, 784, 815, 523

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (364, 784, 815, 523) = 1.

Given numbers are 364, 784, 815, 523

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 815 are 5 x 163

Prime factors of 523 are 523

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

Given numbers are 364, 784, 815, 523

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

Apply this formula for all numbers.

Step1:

LCM(364, 784) = 10192

GCD(364, 784) = ( 364 x 784 ) / 10192

= 364 / 784

= 364

Step2:

LCM(28, 815) = 22820

GCD(28, 815) = ( 28 x 815 ) / 22820

= 28 / 815

= 28

Step3:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

So, Greatest Common Divisor of 364, 784, 815, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 536, 506, 996
• GCD of 480, 289, 757, 458
• GCD of 854, 398, 754, 862
• GCD of 336, 312, 112, 821
• GCD of 876, 947, 178, 571

Given numbers are 364, 784, 815, 523
The greatest common divisor of numbers 364, 784, 815, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 784, 815, 523 is 1.

1. What is the GCD of 364, 784, 815, 523?

GCD of given numbers 364, 784, 815, 523 is 1

2. How to calculate the greatest common divisor of 364, 784, 815, 523?

We can find the highest common divisor of 364, 784, 815, 523 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 364, 784, 815, 523 i.e 1.

3. How can I use the GCD of 364, 784, 815, 523Calculator?

Out the numbers 364, 784, 815, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.