GCD of 966, 690, 866, 786 Calculator

Given Input numbers are 966, 690, 866, 786

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 966, 690, 866, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 690, 866, 786 is 2.

Therefore, GCD of numbers 966, 690, 866, 786 is 2

Given Input Data is 966, 690, 866, 786

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 866 is 2 x 433

Prime Factorization of 786 is 2 x 3 x 131

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(966, 690) = 4830

GCD(966, 690) = ( 966 x 690 ) / 4830

GCD(966, 690) = 666540 / 4830

GCD(966, 690) = 138

Step2:

Here we consider the GCD from the above i.e. 138 as first number and the next as 866

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

LCM(138, 866) = 59754

GCD(138, 866) = ( 138 x 866 ) / 59754

GCD(138, 866) = 119508 / 59754

GCD(138, 866) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 786

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

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

GCD(2, 786) = 1572 / 786

GCD(2, 786) = 2

GCD of 966, 690, 866, 786 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 768, 713, 598
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• GCD of 686, 607, 600, 441
• GCD of 664, 258, 913, 276

1. What is the GCD of 966, 690, 866, 786?

GCD of 966, 690, 866, 786 is 2

2. Where do I get the detailed procedure to find GCD of 966, 690, 866, 786?

You can find a detailed procedure to find GCD of 966, 690, 866, 786 on our page.

3. How to find GCD of 966, 690, 866, 786 on a calculator?

You can find the GCD of 966, 690, 866, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.