GCD of 123, 314, 528 Calculator

Given Input numbers are 123, 314, 528

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (123, 314, 528) = 1.

Given numbers are 123, 314, 528

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 314 are 2 x 157

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

Given numbers are 123, 314, 528

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

Apply this formula for all numbers.

Step1:

LCM(123, 314) = 38622

GCD(123, 314) = ( 123 x 314 ) / 38622

= 123 / 314

= 123

Step2:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1

So, Greatest Common Divisor of 123, 314, 528 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 369, 182
• GCD of 835, 387, 379
• GCD of 199, 412, 687
• GCD of 425, 515, 635
• GCD of 835, 433, 782

Given numbers are 123, 314, 528
The greatest common divisor of numbers 123, 314, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 314, 528 is 1.

1. What is the GCD of 123, 314, 528?

GCD of given numbers 123, 314, 528 is 1

2. How to calculate the greatest common divisor of 123, 314, 528?

We can find the highest common divisor of 123, 314, 528 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, 314, 528 i.e 1.

3. How can I use the GCD of 123, 314, 528Calculator?

Out the numbers 123, 314, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.