GCD of 170, 960, 849, 238 Calculator

Given Input numbers are 170, 960, 849, 238

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (170, 960, 849, 238) = 1.

Given numbers are 170, 960, 849, 238

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 849 are 3 x 283

Prime factors of 238 are 2 x 7 x 17

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

Given numbers are 170, 960, 849, 238

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

Apply this formula for all numbers.

Step1:

LCM(170, 960) = 16320

GCD(170, 960) = ( 170 x 960 ) / 16320

= 170 / 960

= 170

Step2:

LCM(10, 849) = 8490

GCD(10, 849) = ( 10 x 849 ) / 8490

= 10 / 849

= 10

Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

So, Greatest Common Divisor of 170, 960, 849, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 456, 795, 847
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Given numbers are 170, 960, 849, 238
The greatest common divisor of numbers 170, 960, 849, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 960, 849, 238 is 1.

1. What is the GCD of 170, 960, 849, 238?

GCD of given numbers 170, 960, 849, 238 is 1

2. How to calculate the greatest common divisor of 170, 960, 849, 238?

We can find the highest common divisor of 170, 960, 849, 238 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, 960, 849, 238 i.e 1.

3. How can I use the GCD of 170, 960, 849, 238Calculator?

Out the numbers 170, 960, 849, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.