GCD of 442, 961, 214, 331 Calculator

Given Input numbers are 442, 961, 214, 331

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 961 :

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

1, 31, 961

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

GCD of numbers is the greatest common divisor

So, the GCD (442, 961, 214, 331) = 1.

Given numbers are 442, 961, 214, 331

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 961 are 31 x 31

Prime factors of 214 are 2 x 107

Prime factors of 331 are 331

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

Given numbers are 442, 961, 214, 331

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

Apply this formula for all numbers.

Step1:

LCM(442, 961) = 424762

GCD(442, 961) = ( 442 x 961 ) / 424762

= 442 / 961

= 442

Step2:

LCM(1, 214) = 214

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

= 1 / 214

= 1

Step3:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1

So, Greatest Common Divisor of 442, 961, 214, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 158, 939, 991
• GCD of 853, 616, 268, 634
• GCD of 359, 903, 506, 295
• GCD of 449, 858, 475, 588
• GCD of 993, 443, 537, 582

Given numbers are 442, 961, 214, 331
The greatest common divisor of numbers 442, 961, 214, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 961, 214, 331 is 1.

1. What is the GCD of 442, 961, 214, 331?

GCD of given numbers 442, 961, 214, 331 is 1

2. How to calculate the greatest common divisor of 442, 961, 214, 331?

We can find the highest common divisor of 442, 961, 214, 331 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 442, 961, 214, 331 i.e 1.

3. How can I use the GCD of 442, 961, 214, 331Calculator?

Out the numbers 442, 961, 214, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.