GCD of 170, 338, 364 Calculator

Given Input numbers are 170, 338, 364

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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

GCD of numbers is the greatest common divisor

So, the GCD (170, 338, 364) = 2.

Given numbers are 170, 338, 364

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 338 are 2 x 13 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 170, 338, 364 is 2.

Given numbers are 170, 338, 364

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

Apply this formula for all numbers.

Step1:

LCM(170, 338) = 28730

GCD(170, 338) = ( 170 x 338 ) / 28730

= 170 / 338

= 170

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 170, 338, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 289, 393
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• GCD of 101, 442, 655
• GCD of 973, 481, 426
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Given numbers are 170, 338, 364
The greatest common divisor of numbers 170, 338, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 338, 364 is 2.

1. What is the GCD of 170, 338, 364?

GCD of given numbers 170, 338, 364 is 2

2. How to calculate the greatest common divisor of 170, 338, 364?

We can find the highest common divisor of 170, 338, 364 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, 338, 364 i.e 2.

3. How can I use the GCD of 170, 338, 364Calculator?

Out the numbers 170, 338, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.