GCD of 509, 235, 123, 288 Calculator

Given Input numbers are 509, 235, 123, 288

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

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 (509, 235, 123, 288) = 1.

Given numbers are 509, 235, 123, 288

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 235 are 5 x 47

Prime factors of 123 are 3 x 41

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 509, 235, 123, 288

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

Apply this formula for all numbers.

Step1:

LCM(509, 235) = 119615

GCD(509, 235) = ( 509 x 235 ) / 119615

= 509 / 235

= 509

Step2:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1

Step3:

LCM(1, 288) = 288

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

= 1 / 288

= 1

So, Greatest Common Divisor of 509, 235, 123, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 965, 987, 829
• GCD of 803, 340, 981, 338
• GCD of 871, 353, 762, 412
• GCD of 810, 826, 831, 369
• GCD of 511, 106, 475, 955

Given numbers are 509, 235, 123, 288
The greatest common divisor of numbers 509, 235, 123, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 235, 123, 288 is 1.

1. What is the GCD of 509, 235, 123, 288?

GCD of given numbers 509, 235, 123, 288 is 1

2. How to calculate the greatest common divisor of 509, 235, 123, 288?

We can find the highest common divisor of 509, 235, 123, 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 509, 235, 123, 288 i.e 1.

3. How can I use the GCD of 509, 235, 123, 288Calculator?

Out the numbers 509, 235, 123, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.