GCD of 928, 470, 77, 869 Calculator

Given Input numbers are 928, 470, 77, 869

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 928, 470, 77, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 470, 77, 869 is 1.

Therefore, GCD of numbers 928, 470, 77, 869 is 1

Given Input Data is 928, 470, 77, 869

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 470 is 2 x 5 x 47

Prime Factorization of 77 is 7 x 11

Prime Factorization of 869 is 11 x 79

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, 470) = 218080

GCD(928, 470) = ( 928 x 470 ) / 218080

GCD(928, 470) = 436160 / 218080

GCD(928, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 928, 470, 77, 869 is 1

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1. What is the GCD of 928, 470, 77, 869?

GCD of 928, 470, 77, 869 is 1

2. Where do I get the detailed procedure to find GCD of 928, 470, 77, 869?

You can find a detailed procedure to find GCD of 928, 470, 77, 869 on our page.

3. How to find GCD of 928, 470, 77, 869 on a calculator?

You can find the GCD of 928, 470, 77, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.