GCD of 528, 774, 770, 766 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 528, 774, 770, 766 i.e. 2 largest integer that divides all the numbers equally.

GCD of 528, 774, 770, 766 is 2

GCD(528, 774, 770, 766) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 528, 774, 770, 766 is 2

GCD(528, 774, 770, 766) = 2

GCD of 528,774,770,766 Calculator

GCDof 528,774,770,766 is 2

Given Input numbers are 528, 774, 770, 766

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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 528, 774, 770, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 774, 770, 766 is 2.

Therefore, GCD of numbers 528, 774, 770, 766 is 2

Finding GCD of 528, 774, 770, 766 using Prime Factorization

Given Input Data is 528, 774, 770, 766

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 770 is 2 x 5 x 7 x 11

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

Finding GCD of 528, 774, 770, 766 using LCM Formula

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(528, 774) = 68112

GCD(528, 774) = ( 528 x 774 ) / 68112

GCD(528, 774) = 408672 / 68112

GCD(528, 774) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 770

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

LCM(6, 770) = 2310

GCD(6, 770) = ( 6 x 770 ) / 2310

GCD(6, 770) = 4620 / 2310

GCD(6, 770) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 766

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

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

GCD(2, 766) = 1532 / 766

GCD(2, 766) = 2

GCD of 528, 774, 770, 766 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 528, 774, 770, 766

1. What is the GCD of 528, 774, 770, 766?

GCD of 528, 774, 770, 766 is 2


2. Where do I get the detailed procedure to find GCD of 528, 774, 770, 766?

You can find a detailed procedure to find GCD of 528, 774, 770, 766 on our page.


3. How to find GCD of 528, 774, 770, 766 on a calculator?

You can find the GCD of 528, 774, 770, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.