GCD of 165, 717, 120, 493 Calculator

Given Input numbers are 165, 717, 120, 493

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

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

GCD of numbers is the greatest common divisor

So, the GCD (165, 717, 120, 493) = 1.

Given numbers are 165, 717, 120, 493

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 717 are 3 x 239

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

Prime factors of 493 are 17 x 29

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

Given numbers are 165, 717, 120, 493

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

Apply this formula for all numbers.

Step1:

LCM(165, 717) = 39435

GCD(165, 717) = ( 165 x 717 ) / 39435

= 165 / 717

= 165

Step2:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

Step3:

LCM(3, 493) = 1479

GCD(3, 493) = ( 3 x 493 ) / 1479

= 3 / 493

= 3

So, Greatest Common Divisor of 165, 717, 120, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 965, 640, 302
• GCD of 346, 396, 178, 345
• GCD of 601, 957, 461, 277
• GCD of 291, 269, 490, 284
• GCD of 184, 244, 686, 836

Given numbers are 165, 717, 120, 493
The greatest common divisor of numbers 165, 717, 120, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 717, 120, 493 is 1.

1. What is the GCD of 165, 717, 120, 493?

GCD of given numbers 165, 717, 120, 493 is 1

2. How to calculate the greatest common divisor of 165, 717, 120, 493?

We can find the highest common divisor of 165, 717, 120, 493 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 165, 717, 120, 493 i.e 1.

3. How can I use the GCD of 165, 717, 120, 493Calculator?

Out the numbers 165, 717, 120, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.