GCD of 969, 814, 714, 331 Calculator

Given Input numbers are 969, 814, 714, 331

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 (969, 814, 714, 331) = 1.

Given numbers are 969, 814, 714, 331

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 814 are 2 x 11 x 37

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 331 are 331

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

Given numbers are 969, 814, 714, 331

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

Apply this formula for all numbers.

Step1:

LCM(969, 814) = 788766

GCD(969, 814) = ( 969 x 814 ) / 788766

= 969 / 814

= 969

Step2:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

Step3:

LCM(1, 331) = 331

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

= 1 / 331

= 1

So, Greatest Common Divisor of 969, 814, 714, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 467, 973, 497
• GCD of 646, 220, 399, 204
• GCD of 151, 116, 996, 861
• GCD of 622, 142, 600, 388
• GCD of 204, 395, 725, 626

Given numbers are 969, 814, 714, 331
The greatest common divisor of numbers 969, 814, 714, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 814, 714, 331 is 1.

1. What is the GCD of 969, 814, 714, 331?

GCD of given numbers 969, 814, 714, 331 is 1

2. How to calculate the greatest common divisor of 969, 814, 714, 331?

We can find the highest common divisor of 969, 814, 714, 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 969, 814, 714, 331 i.e 1.

3. How can I use the GCD of 969, 814, 714, 331Calculator?

Out the numbers 969, 814, 714, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.