GCD of 170, 135, 342, 360 Calculator

Given Input numbers are 170, 135, 342, 360

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 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (170, 135, 342, 360) = 1.

Given numbers are 170, 135, 342, 360

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 135 are 3 x 3 x 3 x 5

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 170, 135, 342, 360

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

Apply this formula for all numbers.

Step1:

LCM(170, 135) = 4590

GCD(170, 135) = ( 170 x 135 ) / 4590

= 170 / 135

= 170

Step2:

LCM(5, 342) = 1710

GCD(5, 342) = ( 5 x 342 ) / 1710

= 5 / 342

= 5

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 170, 135, 342, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 933, 816, 384
• GCD of 244, 305, 631, 597
• GCD of 672, 244, 803, 946
• GCD of 924, 529, 583, 314
• GCD of 385, 846, 993, 857

Given numbers are 170, 135, 342, 360
The greatest common divisor of numbers 170, 135, 342, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 135, 342, 360 is 1.

1. What is the GCD of 170, 135, 342, 360?

GCD of given numbers 170, 135, 342, 360 is 1

2. How to calculate the greatest common divisor of 170, 135, 342, 360?

We can find the highest common divisor of 170, 135, 342, 360 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, 135, 342, 360 i.e 1.

3. How can I use the GCD of 170, 135, 342, 360Calculator?

Out the numbers 170, 135, 342, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.