GCD of 340, 108, 966, 578 Calculator

Given Input numbers are 340, 108, 966, 578

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

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

GCD of numbers is the greatest common divisor

So, the GCD (340, 108, 966, 578) = 2.

Given numbers are 340, 108, 966, 578

The list of prime factors of all numbers are

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Prime factors of 578 are 2 x 17 x 17

The highest common occurrence is 2¹

Therefore, GCD of 340, 108, 966, 578 is 2.

Given numbers are 340, 108, 966, 578

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

Apply this formula for all numbers.

Step1:

LCM(340, 108) = 9180

GCD(340, 108) = ( 340 x 108 ) / 9180

= 340 / 108

= 340

Step2:

LCM(4, 966) = 1932

GCD(4, 966) = ( 4 x 966 ) / 1932

= 4 / 966

= 4

Step3:

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

= 2 / 578

= 2

So, Greatest Common Divisor of 340, 108, 966, 578 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 216, 868, 692
• GCD of 546, 195, 421, 470
• GCD of 568, 820, 887, 302
• GCD of 488, 398, 170, 603
• GCD of 827, 967, 113, 579

Given numbers are 340, 108, 966, 578
The greatest common divisor of numbers 340, 108, 966, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 108, 966, 578 is 2.

1. What is the GCD of 340, 108, 966, 578?

GCD of given numbers 340, 108, 966, 578 is 2

2. How to calculate the greatest common divisor of 340, 108, 966, 578?

We can find the highest common divisor of 340, 108, 966, 578 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 340, 108, 966, 578 i.e 2.

3. How can I use the GCD of 340, 108, 966, 578Calculator?

Out the numbers 340, 108, 966, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.