GCD of 355, 360, 464, 814 Calculator

Given Input numbers are 355, 360, 464, 814

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (355, 360, 464, 814) = 1.

Given numbers are 355, 360, 464, 814

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

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

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 355, 360, 464, 814

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

Apply this formula for all numbers.

Step1:

LCM(355, 360) = 25560

GCD(355, 360) = ( 355 x 360 ) / 25560

= 355 / 360

= 355

Step2:

LCM(5, 464) = 2320

GCD(5, 464) = ( 5 x 464 ) / 2320

= 5 / 464

= 5

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 355, 360, 464, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 571, 341, 468
• GCD of 759, 188, 182, 295
• GCD of 162, 795, 570, 607
• GCD of 502, 653, 578, 608
• GCD of 615, 191, 315, 220

Given numbers are 355, 360, 464, 814
The greatest common divisor of numbers 355, 360, 464, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 360, 464, 814 is 1.

1. What is the GCD of 355, 360, 464, 814?

GCD of given numbers 355, 360, 464, 814 is 1

2. How to calculate the greatest common divisor of 355, 360, 464, 814?

We can find the highest common divisor of 355, 360, 464, 814 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 355, 360, 464, 814 i.e 1.

3. How can I use the GCD of 355, 360, 464, 814Calculator?

Out the numbers 355, 360, 464, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.