GCD of 493, 149, 364, 768 Calculator

Given Input numbers are 493, 149, 364, 768

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

GCD of numbers is the greatest common divisor

So, the GCD (493, 149, 364, 768) = 1.

Given numbers are 493, 149, 364, 768

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 149 are 149

Prime factors of 364 are 2 x 2 x 7 x 13

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

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

Given numbers are 493, 149, 364, 768

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

Apply this formula for all numbers.

Step1:

LCM(493, 149) = 73457

GCD(493, 149) = ( 493 x 149 ) / 73457

= 493 / 149

= 493

Step2:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

Step3:

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

= 1 / 768

= 1

So, Greatest Common Divisor of 493, 149, 364, 768 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 666, 686, 732
• GCD of 109, 761, 219, 104
• GCD of 240, 921, 674, 171
• GCD of 929, 777, 429, 714
• GCD of 728, 111, 779, 414

Given numbers are 493, 149, 364, 768
The greatest common divisor of numbers 493, 149, 364, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 149, 364, 768 is 1.

1. What is the GCD of 493, 149, 364, 768?

GCD of given numbers 493, 149, 364, 768 is 1

2. How to calculate the greatest common divisor of 493, 149, 364, 768?

We can find the highest common divisor of 493, 149, 364, 768 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 493, 149, 364, 768 i.e 1.

3. How can I use the GCD of 493, 149, 364, 768Calculator?

Out the numbers 493, 149, 364, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.