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, 332, 43, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 692, 332, 43, 721 is 1
GCD(692, 332, 43, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 332, 43, 721 is 1
GCD(692, 332, 43, 721) = 1
Given Input numbers are 692, 332, 43, 721
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 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 692, 332, 43, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 332, 43, 721 is 1.
Therefore, GCD of numbers 692, 332, 43, 721 is 1
Given Input Data is 692, 332, 43, 721
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 332 is 2 x 2 x 83
Prime Factorization of 43 is 43
Prime Factorization of 721 is 7 x 103
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(692, 332) = 57436
GCD(692, 332) = ( 692 x 332 ) / 57436
GCD(692, 332) = 229744 / 57436
GCD(692, 332) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 43) = 172
GCD(4, 43) = ( 4 x 43 ) / 172
GCD(4, 43) = 172 / 172
GCD(4, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
GCD of 692, 332, 43, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 332, 43, 721?
GCD of 692, 332, 43, 721 is 1
2. Where do I get the detailed procedure to find GCD of 692, 332, 43, 721?
You can find a detailed procedure to find GCD of 692, 332, 43, 721 on our page.
3. How to find GCD of 692, 332, 43, 721 on a calculator?
You can find the GCD of 692, 332, 43, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.