GCD of 268, 748, 954, 824 Calculator

Given Input numbers are 268, 748, 954, 824

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 268, 748, 954, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 748, 954, 824 is 2.

Therefore, GCD of numbers 268, 748, 954, 824 is 2

Given Input Data is 268, 748, 954, 824

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(268, 748) = 50116

GCD(268, 748) = ( 268 x 748 ) / 50116

GCD(268, 748) = 200464 / 50116

GCD(268, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 954

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

LCM(4, 954) = 1908

GCD(4, 954) = ( 4 x 954 ) / 1908

GCD(4, 954) = 3816 / 1908

GCD(4, 954) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 268, 748, 954, 824 is 2

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1. What is the GCD of 268, 748, 954, 824?

GCD of 268, 748, 954, 824 is 2

2. Where do I get the detailed procedure to find GCD of 268, 748, 954, 824?

You can find a detailed procedure to find GCD of 268, 748, 954, 824 on our page.

3. How to find GCD of 268, 748, 954, 824 on a calculator?

You can find the GCD of 268, 748, 954, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.