GCD of 670, 836, 446, 966 Calculator

Given Input numbers are 670, 836, 446, 966

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

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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

Greatest Common Divisior

We found the divisors of 670, 836, 446, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 836, 446, 966 is 2.

Therefore, GCD of numbers 670, 836, 446, 966 is 2

Given Input Data is 670, 836, 446, 966

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

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 446 is 2 x 223

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

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(670, 836) = 280060

GCD(670, 836) = ( 670 x 836 ) / 280060

GCD(670, 836) = 560120 / 280060

GCD(670, 836) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 446

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

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

GCD(2, 446) = 892 / 446

GCD(2, 446) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

GCD of 670, 836, 446, 966 is 2

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1. What is the GCD of 670, 836, 446, 966?

GCD of 670, 836, 446, 966 is 2

2. Where do I get the detailed procedure to find GCD of 670, 836, 446, 966?

You can find a detailed procedure to find GCD of 670, 836, 446, 966 on our page.

3. How to find GCD of 670, 836, 446, 966 on a calculator?

You can find the GCD of 670, 836, 446, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.