GCD of 966, 214, 660, 850 Calculator

Given Input numbers are 966, 214, 660, 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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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, 214, 660, 850) = 2.

Given numbers are 966, 214, 660, 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 214 are 2 x 107

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 966, 214, 660, 850 is 2.

Given numbers are 966, 214, 660, 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, 214) = 103362

GCD(966, 214) = ( 966 x 214 ) / 103362

= 966 / 214

= 966

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 850) = 850

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

= 2 / 850

= 2

So, Greatest Common Divisor of 966, 214, 660, 850 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 794, 118, 899
• GCD of 509, 116, 904, 306
• GCD of 135, 575, 128, 157
• GCD of 720, 282, 364, 373
• GCD of 567, 236, 336, 154

Given numbers are 966, 214, 660, 850
The greatest common divisor of numbers 966, 214, 660, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 214, 660, 850 is 2.

1. What is the GCD of 966, 214, 660, 850?

GCD of given numbers 966, 214, 660, 850 is 2

2. How to calculate the greatest common divisor of 966, 214, 660, 850?

We can find the highest common divisor of 966, 214, 660, 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, 214, 660, 850 i.e 2.

3. How can I use the GCD of 966, 214, 660, 850Calculator?

Out the numbers 966, 214, 660, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.