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 766, 692, 82, 392 i.e. 2 largest integer that divides all the numbers equally.
GCD of 766, 692, 82, 392 is 2
GCD(766, 692, 82, 392) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 766, 692, 82, 392 is 2
GCD(766, 692, 82, 392) = 2
Given Input numbers are 766, 692, 82, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 766, 692, 82, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 692, 82, 392 is 2.
Therefore, GCD of numbers 766, 692, 82, 392 is 2
Given Input Data is 766, 692, 82, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 766 is 2 x 383
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 82 is 2 x 41
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(766, 692) = 265036
GCD(766, 692) = ( 766 x 692 ) / 265036
GCD(766, 692) = 530072 / 265036
GCD(766, 692) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 82) = 82
GCD(2, 82) = ( 2 x 82 ) / 82
GCD(2, 82) = 164 / 82
GCD(2, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 392) = 392
GCD(2, 392) = ( 2 x 392 ) / 392
GCD(2, 392) = 784 / 392
GCD(2, 392) = 2
GCD of 766, 692, 82, 392 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 766, 692, 82, 392?
GCD of 766, 692, 82, 392 is 2
2. Where do I get the detailed procedure to find GCD of 766, 692, 82, 392?
You can find a detailed procedure to find GCD of 766, 692, 82, 392 on our page.
3. How to find GCD of 766, 692, 82, 392 on a calculator?
You can find the GCD of 766, 692, 82, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.