GCD of 123, 232, 316, 225 Calculator

Given Input numbers are 123, 232, 316, 225

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (123, 232, 316, 225) = 1.

Given numbers are 123, 232, 316, 225

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 316 are 2 x 2 x 79

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 123, 232, 316, 225

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

Apply this formula for all numbers.

Step1:

LCM(123, 232) = 28536

GCD(123, 232) = ( 123 x 232 ) / 28536

= 123 / 232

= 123

Step2:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 123, 232, 316, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 832, 295, 370
• GCD of 632, 220, 445, 370
• GCD of 316, 195, 722, 506
• GCD of 281, 807, 528, 794
• GCD of 595, 874, 189, 770

Given numbers are 123, 232, 316, 225
The greatest common divisor of numbers 123, 232, 316, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 232, 316, 225 is 1.

1. What is the GCD of 123, 232, 316, 225?

GCD of given numbers 123, 232, 316, 225 is 1

2. How to calculate the greatest common divisor of 123, 232, 316, 225?

We can find the highest common divisor of 123, 232, 316, 225 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, 232, 316, 225 i.e 1.

3. How can I use the GCD of 123, 232, 316, 225Calculator?

Out the numbers 123, 232, 316, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.