GCD of 214, 961, 303, 271 Calculator

Given Input numbers are 214, 961, 303, 271

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

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

GCD of numbers is the greatest common divisor

So, the GCD (214, 961, 303, 271) = 1.

Given numbers are 214, 961, 303, 271

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 961 are 31 x 31

Prime factors of 303 are 3 x 101

Prime factors of 271 are 271

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

Given numbers are 214, 961, 303, 271

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

Apply this formula for all numbers.

Step1:

LCM(214, 961) = 205654

GCD(214, 961) = ( 214 x 961 ) / 205654

= 214 / 961

= 214

Step2:

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

= 1 / 303

= 1

Step3:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1

So, Greatest Common Divisor of 214, 961, 303, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 137, 645, 298
• GCD of 726, 801, 869, 345
• GCD of 814, 295, 840, 966
• GCD of 689, 981, 253, 826
• GCD of 628, 316, 914, 506

Given numbers are 214, 961, 303, 271
The greatest common divisor of numbers 214, 961, 303, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 961, 303, 271 is 1.

1. What is the GCD of 214, 961, 303, 271?

GCD of given numbers 214, 961, 303, 271 is 1

2. How to calculate the greatest common divisor of 214, 961, 303, 271?

We can find the highest common divisor of 214, 961, 303, 271 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 214, 961, 303, 271 i.e 1.

3. How can I use the GCD of 214, 961, 303, 271Calculator?

Out the numbers 214, 961, 303, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.