GCD of 928, 461, 776, 628 Calculator

Given Input numbers are 928, 461, 776, 628

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 928, 461, 776, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 461, 776, 628 is 1.

Therefore, GCD of numbers 928, 461, 776, 628 is 1

Given Input Data is 928, 461, 776, 628

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 461 is 461

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

Prime Factorization of 628 is 2 x 2 x 157

The above numbers do not have any common prime factor. So GCD is 1

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(928, 461) = 427808

GCD(928, 461) = ( 928 x 461 ) / 427808

GCD(928, 461) = 427808 / 427808

GCD(928, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 776

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

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

GCD(1, 776) = 776 / 776

GCD(1, 776) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 928, 461, 776, 628 is 1

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1. What is the GCD of 928, 461, 776, 628?

GCD of 928, 461, 776, 628 is 1

2. Where do I get the detailed procedure to find GCD of 928, 461, 776, 628?

You can find a detailed procedure to find GCD of 928, 461, 776, 628 on our page.

3. How to find GCD of 928, 461, 776, 628 on a calculator?

You can find the GCD of 928, 461, 776, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.