GCD of 776, 582, 732, 428 Calculator

Given Input numbers are 776, 582, 732, 428

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 428

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

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 776, 582, 732, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 582, 732, 428 is 2.

Therefore, GCD of numbers 776, 582, 732, 428 is 2

Given Input Data is 776, 582, 732, 428

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 428 is 2 x 2 x 107

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(776, 582) = 2328

GCD(776, 582) = ( 776 x 582 ) / 2328

GCD(776, 582) = 451632 / 2328

GCD(776, 582) = 194

Step2:

Here we consider the GCD from the above i.e. 194 as first number and the next as 732

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

LCM(194, 732) = 71004

GCD(194, 732) = ( 194 x 732 ) / 71004

GCD(194, 732) = 142008 / 71004

GCD(194, 732) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 2

GCD of 776, 582, 732, 428 is 2

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1. What is the GCD of 776, 582, 732, 428?

GCD of 776, 582, 732, 428 is 2

2. Where do I get the detailed procedure to find GCD of 776, 582, 732, 428?

You can find a detailed procedure to find GCD of 776, 582, 732, 428 on our page.

3. How to find GCD of 776, 582, 732, 428 on a calculator?

You can find the GCD of 776, 582, 732, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.