GCD of 966, 854, 680, 850 Calculator

Given Input numbers are 966, 854, 680, 850

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

GCD of numbers is the greatest common divisor

So, the GCD (966, 854, 680, 850) = 2.

Given numbers are 966, 854, 680, 850

The list of prime factors of all numbers are

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

Prime factors of 854 are 2 x 7 x 61

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 850 are 2 x 5 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 966, 854, 680, 850 is 2.

Given numbers are 966, 854, 680, 850

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

Apply this formula for all numbers.

Step1:

LCM(966, 854) = 58926

GCD(966, 854) = ( 966 x 854 ) / 58926

= 966 / 854

= 966

Step2:

LCM(14, 680) = 4760

GCD(14, 680) = ( 14 x 680 ) / 4760

= 14 / 680

= 14

Step3:

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

= 2 / 850

= 2

So, Greatest Common Divisor of 966, 854, 680, 850 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 608, 990, 885
• GCD of 436, 684, 496, 308
• GCD of 283, 275, 197, 326
• GCD of 740, 630, 258, 426
• GCD of 141, 394, 796, 756

Given numbers are 966, 854, 680, 850
The greatest common divisor of numbers 966, 854, 680, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 854, 680, 850 is 2.

1. What is the GCD of 966, 854, 680, 850?

GCD of given numbers 966, 854, 680, 850 is 2

2. How to calculate the greatest common divisor of 966, 854, 680, 850?

We can find the highest common divisor of 966, 854, 680, 850 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, 854, 680, 850 i.e 2.

3. How can I use the GCD of 966, 854, 680, 850Calculator?

Out the numbers 966, 854, 680, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.