GCD of 705, 768, 370, 323 Calculator

Given Input numbers are 705, 768, 370, 323

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

Divisors of 705 :

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

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

GCD of numbers is the greatest common divisor

So, the GCD (705, 768, 370, 323) = 1.

Given numbers are 705, 768, 370, 323

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 370 are 2 x 5 x 37

Prime factors of 323 are 17 x 19

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

Given numbers are 705, 768, 370, 323

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

Apply this formula for all numbers.

Step1:

LCM(705, 768) = 180480

GCD(705, 768) = ( 705 x 768 ) / 180480

= 705 / 768

= 705

Step2:

LCM(3, 370) = 1110

GCD(3, 370) = ( 3 x 370 ) / 1110

= 3 / 370

= 3

Step3:

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

= 1 / 323

= 1

So, Greatest Common Divisor of 705, 768, 370, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 804, 163, 392
• GCD of 968, 769, 476, 674
• GCD of 898, 126, 469, 813
• GCD of 780, 966, 685, 951
• GCD of 180, 713, 270, 713

Given numbers are 705, 768, 370, 323
The greatest common divisor of numbers 705, 768, 370, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 768, 370, 323 is 1.

1. What is the GCD of 705, 768, 370, 323?

GCD of given numbers 705, 768, 370, 323 is 1

2. How to calculate the greatest common divisor of 705, 768, 370, 323?

We can find the highest common divisor of 705, 768, 370, 323 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 705, 768, 370, 323 i.e 1.

3. How can I use the GCD of 705, 768, 370, 323Calculator?

Out the numbers 705, 768, 370, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.