GCD of 112, 478, 567, 171 Calculator

Given Input numbers are 112, 478, 567, 171

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 478 :

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

1, 2, 239, 478

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (112, 478, 567, 171) = 1.

Given numbers are 112, 478, 567, 171

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 478 are 2 x 239

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 112, 478, 567, 171

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

Apply this formula for all numbers.

Step1:

LCM(112, 478) = 26768

GCD(112, 478) = ( 112 x 478 ) / 26768

= 112 / 478

= 112

Step2:

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

= 2 / 567

= 2

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 112, 478, 567, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 611, 522, 523
• GCD of 355, 388, 989, 228
• GCD of 165, 380, 245, 612
• GCD of 639, 750, 978, 564
• GCD of 934, 807, 386, 505

Given numbers are 112, 478, 567, 171
The greatest common divisor of numbers 112, 478, 567, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 478, 567, 171 is 1.

1. What is the GCD of 112, 478, 567, 171?

GCD of given numbers 112, 478, 567, 171 is 1

2. How to calculate the greatest common divisor of 112, 478, 567, 171?

We can find the highest common divisor of 112, 478, 567, 171 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 112, 478, 567, 171 i.e 1.

3. How can I use the GCD of 112, 478, 567, 171Calculator?

Out the numbers 112, 478, 567, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.