GCD of 505, 512, 358, 342 Calculator

Given Input numbers are 505, 512, 358, 342

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (505, 512, 358, 342) = 1.

Given numbers are 505, 512, 358, 342

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 358 are 2 x 179

Prime factors of 342 are 2 x 3 x 3 x 19

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

Given numbers are 505, 512, 358, 342

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

Apply this formula for all numbers.

Step1:

LCM(505, 512) = 258560

GCD(505, 512) = ( 505 x 512 ) / 258560

= 505 / 512

= 505

Step2:

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

= 1 / 358

= 1

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 505, 512, 358, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 694, 873, 212
• GCD of 474, 821, 810, 566
• GCD of 472, 936, 121, 354
• GCD of 719, 221, 229, 843
• GCD of 190, 929, 583, 434

Given numbers are 505, 512, 358, 342
The greatest common divisor of numbers 505, 512, 358, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 512, 358, 342 is 1.

1. What is the GCD of 505, 512, 358, 342?

GCD of given numbers 505, 512, 358, 342 is 1

2. How to calculate the greatest common divisor of 505, 512, 358, 342?

We can find the highest common divisor of 505, 512, 358, 342 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 505, 512, 358, 342 i.e 1.

3. How can I use the GCD of 505, 512, 358, 342Calculator?

Out the numbers 505, 512, 358, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.