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 numbers 528, 774, 770, 766 is 2
GCD(528, 774, 770, 766) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.