GCD of 494, 360, 417, 655 Calculator

Given Input numbers are 494, 360, 417, 655

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

GCD of numbers is the greatest common divisor

So, the GCD (494, 360, 417, 655) = 1.

Given numbers are 494, 360, 417, 655

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 417 are 3 x 139

Prime factors of 655 are 5 x 131

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

Given numbers are 494, 360, 417, 655

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

Apply this formula for all numbers.

Step1:

LCM(494, 360) = 88920

GCD(494, 360) = ( 494 x 360 ) / 88920

= 494 / 360

= 494

Step2:

LCM(2, 417) = 834

GCD(2, 417) = ( 2 x 417 ) / 834

= 2 / 417

= 2

Step3:

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

= 1 / 655

= 1

So, Greatest Common Divisor of 494, 360, 417, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 327, 770, 914
• GCD of 485, 456, 814, 139
• GCD of 440, 614, 343, 436
• GCD of 279, 205, 270, 642
• GCD of 130, 223, 708, 318

Given numbers are 494, 360, 417, 655
The greatest common divisor of numbers 494, 360, 417, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 360, 417, 655 is 1.

1. What is the GCD of 494, 360, 417, 655?

GCD of given numbers 494, 360, 417, 655 is 1

2. How to calculate the greatest common divisor of 494, 360, 417, 655?

We can find the highest common divisor of 494, 360, 417, 655 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 494, 360, 417, 655 i.e 1.

3. How can I use the GCD of 494, 360, 417, 655Calculator?

Out the numbers 494, 360, 417, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.