GCD of 969, 738, 589, 340 Calculator

Given Input numbers are 969, 738, 589, 340

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (969, 738, 589, 340) = 1.

Given numbers are 969, 738, 589, 340

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 589 are 19 x 31

Prime factors of 340 are 2 x 2 x 5 x 17

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

Given numbers are 969, 738, 589, 340

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

Apply this formula for all numbers.

Step1:

LCM(969, 738) = 238374

GCD(969, 738) = ( 969 x 738 ) / 238374

= 969 / 738

= 969

Step2:

LCM(3, 589) = 1767

GCD(3, 589) = ( 3 x 589 ) / 1767

= 3 / 589

= 3

Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

So, Greatest Common Divisor of 969, 738, 589, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 806, 628, 919
• GCD of 211, 412, 626, 325
• GCD of 321, 669, 997, 598
• GCD of 735, 981, 207, 931
• GCD of 394, 600, 154, 380

Given numbers are 969, 738, 589, 340
The greatest common divisor of numbers 969, 738, 589, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 738, 589, 340 is 1.

1. What is the GCD of 969, 738, 589, 340?

GCD of given numbers 969, 738, 589, 340 is 1

2. How to calculate the greatest common divisor of 969, 738, 589, 340?

We can find the highest common divisor of 969, 738, 589, 340 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, 738, 589, 340 i.e 1.

3. How can I use the GCD of 969, 738, 589, 340Calculator?

Out the numbers 969, 738, 589, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.