GCD of 171, 684, 387, 213 Calculator

Given Input numbers are 171, 684, 387, 213

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

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (171, 684, 387, 213) = 3.

Given numbers are 171, 684, 387, 213

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 387 are 3 x 3 x 43

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 171, 684, 387, 213 is 3.

Given numbers are 171, 684, 387, 213

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

Apply this formula for all numbers.

Step1:

LCM(171, 684) = 684

GCD(171, 684) = ( 171 x 684 ) / 684

= 171 / 684

= 171

Step2:

LCM(171, 387) = 7353

GCD(171, 387) = ( 171 x 387 ) / 7353

= 171 / 387

= 171

Step3:

LCM(9, 213) = 639

GCD(9, 213) = ( 9 x 213 ) / 639

= 9 / 213

= 9

So, Greatest Common Divisor of 171, 684, 387, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 233, 886, 425
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Given numbers are 171, 684, 387, 213
The greatest common divisor of numbers 171, 684, 387, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 684, 387, 213 is 3.

1. What is the GCD of 171, 684, 387, 213?

GCD of given numbers 171, 684, 387, 213 is 3

2. How to calculate the greatest common divisor of 171, 684, 387, 213?

We can find the highest common divisor of 171, 684, 387, 213 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 171, 684, 387, 213 i.e 3.

3. How can I use the GCD of 171, 684, 387, 213Calculator?

Out the numbers 171, 684, 387, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.