GCD of 170, 840, 159, 460 Calculator

Given Input numbers are 170, 840, 159, 460

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 159 :

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

1, 3, 53, 159

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (170, 840, 159, 460) = 1.

Given numbers are 170, 840, 159, 460

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 159 are 3 x 53

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 170, 840, 159, 460

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

Apply this formula for all numbers.

Step1:

LCM(170, 840) = 14280

GCD(170, 840) = ( 170 x 840 ) / 14280

= 170 / 840

= 170

Step2:

LCM(10, 159) = 1590

GCD(10, 159) = ( 10 x 159 ) / 1590

= 10 / 159

= 10

Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

So, Greatest Common Divisor of 170, 840, 159, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 727, 933, 699
• GCD of 152, 346, 574, 958
• GCD of 541, 663, 311, 334
• GCD of 430, 885, 708, 145
• GCD of 363, 737, 451, 336

Given numbers are 170, 840, 159, 460
The greatest common divisor of numbers 170, 840, 159, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 840, 159, 460 is 1.

1. What is the GCD of 170, 840, 159, 460?

GCD of given numbers 170, 840, 159, 460 is 1

2. How to calculate the greatest common divisor of 170, 840, 159, 460?

We can find the highest common divisor of 170, 840, 159, 460 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, 840, 159, 460 i.e 1.

3. How can I use the GCD of 170, 840, 159, 460Calculator?

Out the numbers 170, 840, 159, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.