GCD of 966, 684, 798, 676 Calculator

Given Input numbers are 966, 684, 798, 676

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (966, 684, 798, 676) = 2.

Given numbers are 966, 684, 798, 676

The list of prime factors of all numbers are

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

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 966, 684, 798, 676 is 2.

Given numbers are 966, 684, 798, 676

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

Apply this formula for all numbers.

Step1:

LCM(966, 684) = 110124

GCD(966, 684) = ( 966 x 684 ) / 110124

= 966 / 684

= 966

Step2:

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

= 6 / 798

= 6

Step3:

LCM(6, 676) = 2028

GCD(6, 676) = ( 6 x 676 ) / 2028

= 6 / 676

= 6

So, Greatest Common Divisor of 966, 684, 798, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 252, 841, 764
• GCD of 139, 726, 595, 794
• GCD of 805, 675, 484, 697
• GCD of 208, 180, 386, 554
• GCD of 654, 706, 276, 881

Given numbers are 966, 684, 798, 676
The greatest common divisor of numbers 966, 684, 798, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 684, 798, 676 is 2.

1. What is the GCD of 966, 684, 798, 676?

GCD of given numbers 966, 684, 798, 676 is 2

2. How to calculate the greatest common divisor of 966, 684, 798, 676?

We can find the highest common divisor of 966, 684, 798, 676 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, 684, 798, 676 i.e 2.

3. How can I use the GCD of 966, 684, 798, 676Calculator?

Out the numbers 966, 684, 798, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.