GCD of 170, 260, 342, 366 Calculator

Given Input numbers are 170, 260, 342, 366

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

Divisors of 170 :

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

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

GCD of numbers is the greatest common divisor

So, the GCD (170, 260, 342, 366) = 2.

Given numbers are 170, 260, 342, 366

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 260 are 2 x 2 x 5 x 13

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

Prime factors of 366 are 2 x 3 x 61

The highest common occurrence is 2¹

Therefore, GCD of 170, 260, 342, 366 is 2.

Given numbers are 170, 260, 342, 366

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

Apply this formula for all numbers.

Step1:

LCM(170, 260) = 4420

GCD(170, 260) = ( 170 x 260 ) / 4420

= 170 / 260

= 170

Step2:

LCM(10, 342) = 1710

GCD(10, 342) = ( 10 x 342 ) / 1710

= 10 / 342

= 10

Step3:

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

= 2 / 366

= 2

So, Greatest Common Divisor of 170, 260, 342, 366 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 659, 822, 114
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• GCD of 386, 740, 801, 192
• GCD of 279, 235, 678, 122

Given numbers are 170, 260, 342, 366
The greatest common divisor of numbers 170, 260, 342, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 260, 342, 366 is 2.

1. What is the GCD of 170, 260, 342, 366?

GCD of given numbers 170, 260, 342, 366 is 2

2. How to calculate the greatest common divisor of 170, 260, 342, 366?

We can find the highest common divisor of 170, 260, 342, 366 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 170, 260, 342, 366 i.e 2.

3. How can I use the GCD of 170, 260, 342, 366Calculator?

Out the numbers 170, 260, 342, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.