GCD of 172, 344, 473 Calculator

Given Input numbers are 172, 344, 473

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

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 (172, 344, 473) = 43.

Given numbers are 172, 344, 473

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 473 are 11 x 43

The highest common occurrence is 43¹

Therefore, GCD of 172, 344, 473 is 43.

Given numbers are 172, 344, 473

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

Apply this formula for all numbers.

Step1:

LCM(172, 344) = 344

GCD(172, 344) = ( 172 x 344 ) / 344

= 172 / 344

= 172

Step2:

LCM(172, 473) = 1892

GCD(172, 473) = ( 172 x 473 ) / 1892

= 172 / 473

= 172

So, Greatest Common Divisor of 172, 344, 473 is 43

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 345, 383
• GCD of 281, 206, 772
• GCD of 460, 833, 814
• GCD of 849, 434, 158
• GCD of 890, 428, 336

Given numbers are 172, 344, 473
The greatest common divisor of numbers 172, 344, 473 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 344, 473 is 43.

1. What is the GCD of 172, 344, 473?

GCD of given numbers 172, 344, 473 is 43

2. How to calculate the greatest common divisor of 172, 344, 473?

We can find the highest common divisor of 172, 344, 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 172, 344, 473 i.e 43.

3. How can I use the GCD of 172, 344, 473Calculator?

Out the numbers 172, 344, 473 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.