GCD of 123, 335, 975, 288 Calculator

Given Input numbers are 123, 335, 975, 288

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

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 335 :

The positive integer divisors of 335 that completely divides 335 are.

1, 5, 67, 335

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 (123, 335, 975, 288) = 1.

Given numbers are 123, 335, 975, 288

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 335 are 5 x 67

Prime factors of 975 are 3 x 5 x 5 x 13

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 123, 335, 975, 288

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

Apply this formula for all numbers.

Step1:

LCM(123, 335) = 41205

GCD(123, 335) = ( 123 x 335 ) / 41205

= 123 / 335

= 123

Step2:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

Step3:

LCM(1, 288) = 288

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

= 1 / 288

= 1

So, Greatest Common Divisor of 123, 335, 975, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 994, 656, 446
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Given numbers are 123, 335, 975, 288
The greatest common divisor of numbers 123, 335, 975, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 335, 975, 288 is 1.

1. What is the GCD of 123, 335, 975, 288?

GCD of given numbers 123, 335, 975, 288 is 1

2. How to calculate the greatest common divisor of 123, 335, 975, 288?

We can find the highest common divisor of 123, 335, 975, 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 123, 335, 975, 288 i.e 1.

3. How can I use the GCD of 123, 335, 975, 288Calculator?

Out the numbers 123, 335, 975, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.