GCD of 802, 962, 48, 866 Calculator

Given Input numbers are 802, 962, 48, 866

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 866

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

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 802, 962, 48, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 962, 48, 866 is 2.

Therefore, GCD of numbers 802, 962, 48, 866 is 2

Given Input Data is 802, 962, 48, 866

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 866 is 2 x 433

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(802, 962) = 385762

GCD(802, 962) = ( 802 x 962 ) / 385762

GCD(802, 962) = 771524 / 385762

GCD(802, 962) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 866

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

LCM(2, 866) = 866

GCD(2, 866) = ( 2 x 866 ) / 866

GCD(2, 866) = 1732 / 866

GCD(2, 866) = 2

GCD of 802, 962, 48, 866 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 323, 74, 439
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• GCD of 815, 951, 61, 420

1. What is the GCD of 802, 962, 48, 866?

GCD of 802, 962, 48, 866 is 2

2. Where do I get the detailed procedure to find GCD of 802, 962, 48, 866?

You can find a detailed procedure to find GCD of 802, 962, 48, 866 on our page.

3. How to find GCD of 802, 962, 48, 866 on a calculator?

You can find the GCD of 802, 962, 48, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.