GCD of 768, 377, 423, 538 Calculator

Given Input numbers are 768, 377, 423, 538

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 377 :

The positive integer divisors of 377 that completely divides 377 are.

1, 13, 29, 377

Divisors of 423 :

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

1, 3, 9, 47, 141, 423

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (768, 377, 423, 538) = 1.

Given numbers are 768, 377, 423, 538

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 377 are 13 x 29

Prime factors of 423 are 3 x 3 x 47

Prime factors of 538 are 2 x 269

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

Given numbers are 768, 377, 423, 538

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

Apply this formula for all numbers.

Step1:

LCM(768, 377) = 289536

GCD(768, 377) = ( 768 x 377 ) / 289536

= 768 / 377

= 768

Step2:

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

= 1 / 423

= 1

Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

So, Greatest Common Divisor of 768, 377, 423, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 213, 802, 339
• GCD of 888, 721, 456, 809
• GCD of 996, 537, 138, 172
• GCD of 783, 872, 764, 344
• GCD of 576, 726, 122, 128

Given numbers are 768, 377, 423, 538
The greatest common divisor of numbers 768, 377, 423, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 377, 423, 538 is 1.

1. What is the GCD of 768, 377, 423, 538?

GCD of given numbers 768, 377, 423, 538 is 1

2. How to calculate the greatest common divisor of 768, 377, 423, 538?

We can find the highest common divisor of 768, 377, 423, 538 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, 377, 423, 538 i.e 1.

3. How can I use the GCD of 768, 377, 423, 538Calculator?

Out the numbers 768, 377, 423, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.