GCD of 966, 838, 819, 313 Calculator

Given Input numbers are 966, 838, 819, 313

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (966, 838, 819, 313) = 1.

Given numbers are 966, 838, 819, 313

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 838 are 2 x 419

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 313 are 313

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

Given numbers are 966, 838, 819, 313

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

Apply this formula for all numbers.

Step1:

LCM(966, 838) = 404754

GCD(966, 838) = ( 966 x 838 ) / 404754

= 966 / 838

= 966

Step2:

LCM(2, 819) = 1638

GCD(2, 819) = ( 2 x 819 ) / 1638

= 2 / 819

= 2

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 966, 838, 819, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 662, 362, 284
• GCD of 561, 113, 595, 227
• GCD of 493, 631, 611, 212
• GCD of 353, 432, 558, 742
• GCD of 909, 386, 544, 885

Given numbers are 966, 838, 819, 313
The greatest common divisor of numbers 966, 838, 819, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 838, 819, 313 is 1.

1. What is the GCD of 966, 838, 819, 313?

GCD of given numbers 966, 838, 819, 313 is 1

2. How to calculate the greatest common divisor of 966, 838, 819, 313?

We can find the highest common divisor of 966, 838, 819, 313 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 966, 838, 819, 313 i.e 1.

3. How can I use the GCD of 966, 838, 819, 313Calculator?

Out the numbers 966, 838, 819, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.