GCD of 306, 687, 159 Calculator

Given Input numbers are 306, 687, 159

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (306, 687, 159) = 3.

Given numbers are 306, 687, 159

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 687 are 3 x 229

Prime factors of 159 are 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 306, 687, 159 is 3.

Given numbers are 306, 687, 159

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

Apply this formula for all numbers.

Step1:

LCM(306, 687) = 70074

GCD(306, 687) = ( 306 x 687 ) / 70074

= 306 / 687

= 306

Step2:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3

So, Greatest Common Divisor of 306, 687, 159 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 210, 733
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• GCD of 713, 896, 407
• GCD of 677, 744, 318
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Given numbers are 306, 687, 159
The greatest common divisor of numbers 306, 687, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 687, 159 is 3.

1. What is the GCD of 306, 687, 159?

GCD of given numbers 306, 687, 159 is 3

2. How to calculate the greatest common divisor of 306, 687, 159?

We can find the highest common divisor of 306, 687, 159 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 306, 687, 159 i.e 3.

3. How can I use the GCD of 306, 687, 159Calculator?

Out the numbers 306, 687, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.