GCD of 134, 104, 561, 288 Calculator

Given Input numbers are 134, 104, 561, 288

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (134, 104, 561, 288) = 1.

Given numbers are 134, 104, 561, 288

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 561 are 3 x 11 x 17

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 134, 104, 561, 288

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

Apply this formula for all numbers.

Step1:

LCM(134, 104) = 6968

GCD(134, 104) = ( 134 x 104 ) / 6968

= 134 / 104

= 134

Step2:

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

= 2 / 561

= 2

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 134, 104, 561, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 396, 117, 402
• GCD of 212, 196, 848, 901
• GCD of 828, 135, 551, 548
• GCD of 244, 603, 254, 911
• GCD of 986, 246, 319, 109

Given numbers are 134, 104, 561, 288
The greatest common divisor of numbers 134, 104, 561, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 104, 561, 288 is 1.

1. What is the GCD of 134, 104, 561, 288?

GCD of given numbers 134, 104, 561, 288 is 1

2. How to calculate the greatest common divisor of 134, 104, 561, 288?

We can find the highest common divisor of 134, 104, 561, 288 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 134, 104, 561, 288 i.e 1.

3. How can I use the GCD of 134, 104, 561, 288Calculator?

Out the numbers 134, 104, 561, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.