GCD of 768, 380, 914, 423 Calculator

Given Input numbers are 768, 380, 914, 423

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

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 380 :

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

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (768, 380, 914, 423) = 1.

Given numbers are 768, 380, 914, 423

The list of prime factors of all numbers are

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 380 are 2 x 2 x 5 x 19

Prime factors of 914 are 2 x 457

Prime factors of 423 are 3 x 3 x 47

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

Given numbers are 768, 380, 914, 423

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

Apply this formula for all numbers.

Step1:

LCM(768, 380) = 72960

GCD(768, 380) = ( 768 x 380 ) / 72960

= 768 / 380

= 768

Step2:

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

= 4 / 914

= 4

Step3:

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

= 2 / 423

= 2

So, Greatest Common Divisor of 768, 380, 914, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 680, 199, 543
• GCD of 171, 482, 831, 402
• GCD of 300, 435, 809, 862
• GCD of 404, 830, 717, 417
• GCD of 538, 934, 670, 843

Given numbers are 768, 380, 914, 423
The greatest common divisor of numbers 768, 380, 914, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 380, 914, 423 is 1.

1. What is the GCD of 768, 380, 914, 423?

GCD of given numbers 768, 380, 914, 423 is 1

2. How to calculate the greatest common divisor of 768, 380, 914, 423?

We can find the highest common divisor of 768, 380, 914, 423 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 768, 380, 914, 423 i.e 1.

3. How can I use the GCD of 768, 380, 914, 423Calculator?

Out the numbers 768, 380, 914, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.