GCD of 284, 478, 172 Calculator

Given Input numbers are 284, 478, 172

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (284, 478, 172) = 2.

Given numbers are 284, 478, 172

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 478 are 2 x 239

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 284, 478, 172 is 2.

Given numbers are 284, 478, 172

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

Apply this formula for all numbers.

Step1:

LCM(284, 478) = 67876

GCD(284, 478) = ( 284 x 478 ) / 67876

= 284 / 478

= 284

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 284, 478, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 962, 359
• GCD of 365, 906, 317
• GCD of 677, 961, 618
• GCD of 420, 604, 798
• GCD of 901, 387, 983

Given numbers are 284, 478, 172
The greatest common divisor of numbers 284, 478, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 478, 172 is 2.

1. What is the GCD of 284, 478, 172?

GCD of given numbers 284, 478, 172 is 2

2. How to calculate the greatest common divisor of 284, 478, 172?

We can find the highest common divisor of 284, 478, 172 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 284, 478, 172 i.e 2.

3. How can I use the GCD of 284, 478, 172Calculator?

Out the numbers 284, 478, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.