GCD of 469, 966, 826 Calculator

Given Input numbers are 469, 966, 826

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 469, 966, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 966, 826 is 7.

Therefore, GCD of numbers 469, 966, 826 is 7

Given Input Data is 469, 966, 826

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

Prime Factorization of 469 is 7 x 67

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

Prime Factorization of 826 is 2 x 7 x 59

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(469, 966) = 64722

GCD(469, 966) = ( 469 x 966 ) / 64722

GCD(469, 966) = 453054 / 64722

GCD(469, 966) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 826

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

LCM(7, 826) = 826

GCD(7, 826) = ( 7 x 826 ) / 826

GCD(7, 826) = 5782 / 826

GCD(7, 826) = 7

GCD of 469, 966, 826 is 7

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1. What is the GCD of 469, 966, 826?

GCD of 469, 966, 826 is 7

2. Where do I get the detailed procedure to find GCD of 469, 966, 826?

You can find a detailed procedure to find GCD of 469, 966, 826 on our page.

3. How to find GCD of 469, 966, 826 on a calculator?

You can find the GCD of 469, 966, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.