GCD of 560, 266, 342, 558 Calculator

Given Input numbers are 560, 266, 342, 558

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

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 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

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

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

GCD of numbers is the greatest common divisor

So, the GCD (560, 266, 342, 558) = 2.

Given numbers are 560, 266, 342, 558

The list of prime factors of all numbers are

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

Prime factors of 266 are 2 x 7 x 19

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

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

The highest common occurrence is 2¹

Therefore, GCD of 560, 266, 342, 558 is 2.

Given numbers are 560, 266, 342, 558

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

Apply this formula for all numbers.

Step1:

LCM(560, 266) = 10640

GCD(560, 266) = ( 560 x 266 ) / 10640

= 560 / 266

= 560

Step2:

LCM(14, 342) = 2394

GCD(14, 342) = ( 14 x 342 ) / 2394

= 14 / 342

= 14

Step3:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

So, Greatest Common Divisor of 560, 266, 342, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 111, 191, 859
• GCD of 812, 637, 957, 125
• GCD of 223, 343, 741, 480
• GCD of 459, 490, 153, 985
• GCD of 272, 949, 231, 577

Given numbers are 560, 266, 342, 558
The greatest common divisor of numbers 560, 266, 342, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 266, 342, 558 is 2.

1. What is the GCD of 560, 266, 342, 558?

GCD of given numbers 560, 266, 342, 558 is 2

2. How to calculate the greatest common divisor of 560, 266, 342, 558?

We can find the highest common divisor of 560, 266, 342, 558 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 560, 266, 342, 558 i.e 2.

3. How can I use the GCD of 560, 266, 342, 558Calculator?

Out the numbers 560, 266, 342, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.