GCD of 923, 800, 704, 380 Calculator

Given Input numbers are 923, 800, 704, 380

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

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (923, 800, 704, 380) = 1.

Given numbers are 923, 800, 704, 380

The list of prime factors of all numbers are

Prime factors of 923 are 13 x 71

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 380 are 2 x 2 x 5 x 19

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

Given numbers are 923, 800, 704, 380

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

Apply this formula for all numbers.

Step1:

LCM(923, 800) = 738400

GCD(923, 800) = ( 923 x 800 ) / 738400

= 923 / 800

= 923

Step2:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

Step3:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

So, Greatest Common Divisor of 923, 800, 704, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 300, 599, 716
• GCD of 508, 591, 631, 270
• GCD of 894, 379, 506, 477
• GCD of 658, 573, 913, 308
• GCD of 426, 116, 913, 493

Given numbers are 923, 800, 704, 380
The greatest common divisor of numbers 923, 800, 704, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 923, 800, 704, 380 is 1.

1. What is the GCD of 923, 800, 704, 380?

GCD of given numbers 923, 800, 704, 380 is 1

2. How to calculate the greatest common divisor of 923, 800, 704, 380?

We can find the highest common divisor of 923, 800, 704, 380 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 923, 800, 704, 380 i.e 1.

3. How can I use the GCD of 923, 800, 704, 380Calculator?

Out the numbers 923, 800, 704, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.