GCD of 687, 342, 309, 213 Calculator

Given Input numbers are 687, 342, 309, 213

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 (687, 342, 309, 213) = 3.

Given numbers are 687, 342, 309, 213

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 309 are 3 x 103

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 687, 342, 309, 213 is 3.

Given numbers are 687, 342, 309, 213

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

Apply this formula for all numbers.

Step1:

LCM(687, 342) = 78318

GCD(687, 342) = ( 687 x 342 ) / 78318

= 687 / 342

= 687

Step2:

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

= 3 / 309

= 3

Step3:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

So, Greatest Common Divisor of 687, 342, 309, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 500, 227, 185
• GCD of 556, 454, 766, 438
• GCD of 721, 423, 141, 821
• GCD of 204, 238, 397, 540
• GCD of 521, 164, 198, 176

Given numbers are 687, 342, 309, 213
The greatest common divisor of numbers 687, 342, 309, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 342, 309, 213 is 3.

1. What is the GCD of 687, 342, 309, 213?

GCD of given numbers 687, 342, 309, 213 is 3

2. How to calculate the greatest common divisor of 687, 342, 309, 213?

We can find the highest common divisor of 687, 342, 309, 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 687, 342, 309, 213 i.e 3.

3. How can I use the GCD of 687, 342, 309, 213Calculator?

Out the numbers 687, 342, 309, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.