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 692, 652, 168, 774 i.e. 2 largest integer that divides all the numbers equally.
GCD of 692, 652, 168, 774 is 2
GCD(692, 652, 168, 774) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 652, 168, 774 is 2
GCD(692, 652, 168, 774) = 2
Given Input numbers are 692, 652, 168, 774
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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
Greatest Common Divisior
We found the divisors of 692, 652, 168, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 652, 168, 774 is 2.
Therefore, GCD of numbers 692, 652, 168, 774 is 2
Given Input Data is 692, 652, 168, 774
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 774 is 2 x 3 x 3 x 43
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(692, 652) = 112796
GCD(692, 652) = ( 692 x 652 ) / 112796
GCD(692, 652) = 451184 / 112796
GCD(692, 652) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 168) = 168
GCD(4, 168) = ( 4 x 168 ) / 168
GCD(4, 168) = 672 / 168
GCD(4, 168) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 774) = 1548
GCD(4, 774) = ( 4 x 774 ) / 1548
GCD(4, 774) = 3096 / 1548
GCD(4, 774) = 2
GCD of 692, 652, 168, 774 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 652, 168, 774?
GCD of 692, 652, 168, 774 is 2
2. Where do I get the detailed procedure to find GCD of 692, 652, 168, 774?
You can find a detailed procedure to find GCD of 692, 652, 168, 774 on our page.
3. How to find GCD of 692, 652, 168, 774 on a calculator?
You can find the GCD of 692, 652, 168, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.