GCD of 248, 428, 644, 766 Calculator

Given Input numbers are 248, 428, 644, 766

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 248, 428, 644, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 428, 644, 766 is 2.

Therefore, GCD of numbers 248, 428, 644, 766 is 2

Given Input Data is 248, 428, 644, 766

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 766 is 2 x 383

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(248, 428) = 26536

GCD(248, 428) = ( 248 x 428 ) / 26536

GCD(248, 428) = 106144 / 26536

GCD(248, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 644

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

LCM(4, 644) = 644

GCD(4, 644) = ( 4 x 644 ) / 644

GCD(4, 644) = 2576 / 644

GCD(4, 644) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 766

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

LCM(4, 766) = 1532

GCD(4, 766) = ( 4 x 766 ) / 1532

GCD(4, 766) = 3064 / 1532

GCD(4, 766) = 2

GCD of 248, 428, 644, 766 is 2

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1. What is the GCD of 248, 428, 644, 766?

GCD of 248, 428, 644, 766 is 2

2. Where do I get the detailed procedure to find GCD of 248, 428, 644, 766?

You can find a detailed procedure to find GCD of 248, 428, 644, 766 on our page.

3. How to find GCD of 248, 428, 644, 766 on a calculator?

You can find the GCD of 248, 428, 644, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.