GCD of 384, 350, 705, 827 Calculator

Given Input numbers are 384, 350, 705, 827

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (384, 350, 705, 827) = 1.

Given numbers are 384, 350, 705, 827

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 705 are 3 x 5 x 47

Prime factors of 827 are 827

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

Given numbers are 384, 350, 705, 827

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

Apply this formula for all numbers.

Step1:

LCM(384, 350) = 67200

GCD(384, 350) = ( 384 x 350 ) / 67200

= 384 / 350

= 384

Step2:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

Step3:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

So, Greatest Common Divisor of 384, 350, 705, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 929, 339, 422
• GCD of 998, 612, 986, 103
• GCD of 355, 235, 823, 997
• GCD of 658, 961, 735, 999
• GCD of 767, 866, 952, 104

Given numbers are 384, 350, 705, 827
The greatest common divisor of numbers 384, 350, 705, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 350, 705, 827 is 1.

1. What is the GCD of 384, 350, 705, 827?

GCD of given numbers 384, 350, 705, 827 is 1

2. How to calculate the greatest common divisor of 384, 350, 705, 827?

We can find the highest common divisor of 384, 350, 705, 827 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 384, 350, 705, 827 i.e 1.

3. How can I use the GCD of 384, 350, 705, 827Calculator?

Out the numbers 384, 350, 705, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.