GCD of 171, 234, 753, 123 Calculator

Given Input numbers are 171, 234, 753, 123

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 123 :

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

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (171, 234, 753, 123) = 3.

Given numbers are 171, 234, 753, 123

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 753 are 3 x 251

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 171, 234, 753, 123 is 3.

Given numbers are 171, 234, 753, 123

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

Apply this formula for all numbers.

Step1:

LCM(171, 234) = 4446

GCD(171, 234) = ( 171 x 234 ) / 4446

= 171 / 234

= 171

Step2:

LCM(9, 753) = 2259

GCD(9, 753) = ( 9 x 753 ) / 2259

= 9 / 753

= 9

Step3:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

So, Greatest Common Divisor of 171, 234, 753, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 538, 124, 352
• GCD of 256, 282, 811, 804
• GCD of 822, 480, 685, 887
• GCD of 822, 688, 812, 680
• GCD of 139, 952, 211, 565

Given numbers are 171, 234, 753, 123
The greatest common divisor of numbers 171, 234, 753, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 234, 753, 123 is 3.

1. What is the GCD of 171, 234, 753, 123?

GCD of given numbers 171, 234, 753, 123 is 3

2. How to calculate the greatest common divisor of 171, 234, 753, 123?

We can find the highest common divisor of 171, 234, 753, 123 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 171, 234, 753, 123 i.e 3.

3. How can I use the GCD of 171, 234, 753, 123Calculator?

Out the numbers 171, 234, 753, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.