GCD of 558, 345, 560, 316 Calculator

Given Input numbers are 558, 345, 560, 316

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 345 :

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

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (558, 345, 560, 316) = 1.

Given numbers are 558, 345, 560, 316

The list of prime factors of all numbers are

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 345 are 3 x 5 x 23

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 316 are 2 x 2 x 79

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

Given numbers are 558, 345, 560, 316

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

Apply this formula for all numbers.

Step1:

LCM(558, 345) = 64170

GCD(558, 345) = ( 558 x 345 ) / 64170

= 558 / 345

= 558

Step2:

LCM(3, 560) = 1680

GCD(3, 560) = ( 3 x 560 ) / 1680

= 3 / 560

= 3

Step3:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1

So, Greatest Common Divisor of 558, 345, 560, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 490, 625, 483
• GCD of 901, 232, 851, 409
• GCD of 243, 283, 258, 532
• GCD of 162, 855, 349, 327
• GCD of 513, 979, 748, 618

Given numbers are 558, 345, 560, 316
The greatest common divisor of numbers 558, 345, 560, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 345, 560, 316 is 1.

1. What is the GCD of 558, 345, 560, 316?

GCD of given numbers 558, 345, 560, 316 is 1

2. How to calculate the greatest common divisor of 558, 345, 560, 316?

We can find the highest common divisor of 558, 345, 560, 316 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 558, 345, 560, 316 i.e 1.

3. How can I use the GCD of 558, 345, 560, 316Calculator?

Out the numbers 558, 345, 560, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.