GCD of 270, 160, 312, 559 Calculator

Given Input numbers are 270, 160, 312, 559

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

GCD of numbers is the greatest common divisor

So, the GCD (270, 160, 312, 559) = 1.

Given numbers are 270, 160, 312, 559

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 559 are 13 x 43

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

Given numbers are 270, 160, 312, 559

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

Apply this formula for all numbers.

Step1:

LCM(270, 160) = 4320

GCD(270, 160) = ( 270 x 160 ) / 4320

= 270 / 160

= 270

Step2:

LCM(10, 312) = 1560

GCD(10, 312) = ( 10 x 312 ) / 1560

= 10 / 312

= 10

Step3:

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

= 2 / 559

= 2

So, Greatest Common Divisor of 270, 160, 312, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 856, 133, 854
• GCD of 460, 242, 117, 831
• GCD of 964, 926, 104, 447
• GCD of 262, 932, 148, 293
• GCD of 209, 615, 615, 360

Given numbers are 270, 160, 312, 559
The greatest common divisor of numbers 270, 160, 312, 559 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 160, 312, 559 is 1.

1. What is the GCD of 270, 160, 312, 559?

GCD of given numbers 270, 160, 312, 559 is 1

2. How to calculate the greatest common divisor of 270, 160, 312, 559?

We can find the highest common divisor of 270, 160, 312, 559 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 270, 160, 312, 559 i.e 1.

3. How can I use the GCD of 270, 160, 312, 559Calculator?

Out the numbers 270, 160, 312, 559 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.