GCD of 848, 474, 978, 826 Calculator

Given Input numbers are 848, 474, 978, 826

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

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 848, 474, 978, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 474, 978, 826 is 2.

Therefore, GCD of numbers 848, 474, 978, 826 is 2

Given Input Data is 848, 474, 978, 826

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 826 is 2 x 7 x 59

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(848, 474) = 200976

GCD(848, 474) = ( 848 x 474 ) / 200976

GCD(848, 474) = 401952 / 200976

GCD(848, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 978

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

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

GCD(2, 978) = 1956 / 978

GCD(2, 978) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 826

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

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

GCD(2, 826) = 1652 / 826

GCD(2, 826) = 2

GCD of 848, 474, 978, 826 is 2

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1. What is the GCD of 848, 474, 978, 826?

GCD of 848, 474, 978, 826 is 2

2. Where do I get the detailed procedure to find GCD of 848, 474, 978, 826?

You can find a detailed procedure to find GCD of 848, 474, 978, 826 on our page.

3. How to find GCD of 848, 474, 978, 826 on a calculator?

You can find the GCD of 848, 474, 978, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.