GCD of 380, 558, 334, 172 Calculator

Given Input numbers are 380, 558, 334, 172

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

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 (380, 558, 334, 172) = 2.

Given numbers are 380, 558, 334, 172

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 334 are 2 x 167

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 380, 558, 334, 172 is 2.

Given numbers are 380, 558, 334, 172

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

Apply this formula for all numbers.

Step1:

LCM(380, 558) = 106020

GCD(380, 558) = ( 380 x 558 ) / 106020

= 380 / 558

= 380

Step2:

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

= 2 / 334

= 2

Step3:

LCM(2, 172) = 172

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

= 2 / 172

= 2

So, Greatest Common Divisor of 380, 558, 334, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 482, 168, 489
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Given numbers are 380, 558, 334, 172
The greatest common divisor of numbers 380, 558, 334, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 558, 334, 172 is 2.

1. What is the GCD of 380, 558, 334, 172?

GCD of given numbers 380, 558, 334, 172 is 2

2. How to calculate the greatest common divisor of 380, 558, 334, 172?

We can find the highest common divisor of 380, 558, 334, 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 380, 558, 334, 172 i.e 2.

3. How can I use the GCD of 380, 558, 334, 172Calculator?

Out the numbers 380, 558, 334, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.