GCD of 144, 169, 234, 473 Calculator

Given Input numbers are 144, 169, 234, 473

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

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 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

GCD of numbers is the greatest common divisor

So, the GCD (144, 169, 234, 473) = 1.

Given numbers are 144, 169, 234, 473

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 169 are 13 x 13

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

Prime factors of 473 are 11 x 43

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

Given numbers are 144, 169, 234, 473

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

Apply this formula for all numbers.

Step1:

LCM(144, 169) = 24336

GCD(144, 169) = ( 144 x 169 ) / 24336

= 144 / 169

= 144

Step2:

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

= 1 / 234

= 1

Step3:

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

= 1 / 473

= 1

So, Greatest Common Divisor of 144, 169, 234, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 762, 972, 985
• GCD of 979, 190, 376, 821
• GCD of 945, 257, 596, 158
• GCD of 458, 278, 311, 377
• GCD of 998, 114, 870, 363

Given numbers are 144, 169, 234, 473
The greatest common divisor of numbers 144, 169, 234, 473 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 169, 234, 473 is 1.

1. What is the GCD of 144, 169, 234, 473?

GCD of given numbers 144, 169, 234, 473 is 1

2. How to calculate the greatest common divisor of 144, 169, 234, 473?

We can find the highest common divisor of 144, 169, 234, 473 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 144, 169, 234, 473 i.e 1.

3. How can I use the GCD of 144, 169, 234, 473Calculator?

Out the numbers 144, 169, 234, 473 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.