GCD of 120, 493, 817, 345 Calculator

Given Input numbers are 120, 493, 817, 345

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (120, 493, 817, 345) = 1.

Given numbers are 120, 493, 817, 345

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 493 are 17 x 29

Prime factors of 817 are 19 x 43

Prime factors of 345 are 3 x 5 x 23

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

Given numbers are 120, 493, 817, 345

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

Apply this formula for all numbers.

Step1:

LCM(120, 493) = 59160

GCD(120, 493) = ( 120 x 493 ) / 59160

= 120 / 493

= 120

Step2:

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

= 1 / 817

= 1

Step3:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

So, Greatest Common Divisor of 120, 493, 817, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 927, 138, 665
• GCD of 125, 983, 379, 774
• GCD of 600, 539, 880, 385
• GCD of 962, 197, 921, 839
• GCD of 382, 392, 889, 146

Given numbers are 120, 493, 817, 345
The greatest common divisor of numbers 120, 493, 817, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 493, 817, 345 is 1.

1. What is the GCD of 120, 493, 817, 345?

GCD of given numbers 120, 493, 817, 345 is 1

2. How to calculate the greatest common divisor of 120, 493, 817, 345?

We can find the highest common divisor of 120, 493, 817, 345 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 120, 493, 817, 345 i.e 1.

3. How can I use the GCD of 120, 493, 817, 345Calculator?

Out the numbers 120, 493, 817, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.