GCD of 960, 371, 198, 214 Calculator

Given Input numbers are 960, 371, 198, 214

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

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 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (960, 371, 198, 214) = 1.

Given numbers are 960, 371, 198, 214

The list of prime factors of all numbers are

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

Prime factors of 371 are 7 x 53

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 214 are 2 x 107

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

Given numbers are 960, 371, 198, 214

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

Apply this formula for all numbers.

Step1:

LCM(960, 371) = 356160

GCD(960, 371) = ( 960 x 371 ) / 356160

= 960 / 371

= 960

Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 960, 371, 198, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 558, 449, 179
• GCD of 407, 631, 722, 585
• GCD of 210, 547, 735, 275
• GCD of 881, 571, 173, 315
• GCD of 171, 100, 219, 230

Given numbers are 960, 371, 198, 214
The greatest common divisor of numbers 960, 371, 198, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 371, 198, 214 is 1.

1. What is the GCD of 960, 371, 198, 214?

GCD of given numbers 960, 371, 198, 214 is 1

2. How to calculate the greatest common divisor of 960, 371, 198, 214?

We can find the highest common divisor of 960, 371, 198, 214 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 960, 371, 198, 214 i.e 1.

3. How can I use the GCD of 960, 371, 198, 214Calculator?

Out the numbers 960, 371, 198, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.