GCD of 798, 380, 171, 960 Calculator

Given Input numbers are 798, 380, 171, 960

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

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

GCD of numbers is the greatest common divisor

So, the GCD (798, 380, 171, 960) = 1.

Given numbers are 798, 380, 171, 960

The list of prime factors of all numbers are

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 171 are 3 x 3 x 19

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

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

Given numbers are 798, 380, 171, 960

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

Apply this formula for all numbers.

Step1:

LCM(798, 380) = 7980

GCD(798, 380) = ( 798 x 380 ) / 7980

= 798 / 380

= 798

Step2:

LCM(38, 171) = 342

GCD(38, 171) = ( 38 x 171 ) / 342

= 38 / 171

= 38

Step3:

LCM(19, 960) = 18240

GCD(19, 960) = ( 19 x 960 ) / 18240

= 19 / 960

= 19

So, Greatest Common Divisor of 798, 380, 171, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 378, 885, 717
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Given numbers are 798, 380, 171, 960
The greatest common divisor of numbers 798, 380, 171, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 380, 171, 960 is 1.

1. What is the GCD of 798, 380, 171, 960?

GCD of given numbers 798, 380, 171, 960 is 1

2. How to calculate the greatest common divisor of 798, 380, 171, 960?

We can find the highest common divisor of 798, 380, 171, 960 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 798, 380, 171, 960 i.e 1.

3. How can I use the GCD of 798, 380, 171, 960Calculator?

Out the numbers 798, 380, 171, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.