GCD of 364, 170, 306, 654 Calculator

Given Input numbers are 364, 170, 306, 654

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (364, 170, 306, 654) = 2.

Given numbers are 364, 170, 306, 654

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 170 are 2 x 5 x 17

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

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 364, 170, 306, 654 is 2.

Given numbers are 364, 170, 306, 654

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

Apply this formula for all numbers.

Step1:

LCM(364, 170) = 30940

GCD(364, 170) = ( 364 x 170 ) / 30940

= 364 / 170

= 364

Step2:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

Step3:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

So, Greatest Common Divisor of 364, 170, 306, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 652, 826, 166
• GCD of 803, 614, 408, 718
• GCD of 665, 926, 748, 405
• GCD of 790, 904, 912, 915
• GCD of 235, 843, 392, 460

Given numbers are 364, 170, 306, 654
The greatest common divisor of numbers 364, 170, 306, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 170, 306, 654 is 2.

1. What is the GCD of 364, 170, 306, 654?

GCD of given numbers 364, 170, 306, 654 is 2

2. How to calculate the greatest common divisor of 364, 170, 306, 654?

We can find the highest common divisor of 364, 170, 306, 654 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 364, 170, 306, 654 i.e 2.

3. How can I use the GCD of 364, 170, 306, 654Calculator?

Out the numbers 364, 170, 306, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.