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 57, 332, 743, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 332, 743, 697 is 1
GCD(57, 332, 743, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 332, 743, 697 is 1
GCD(57, 332, 743, 697) = 1
Given Input numbers are 57, 332, 743, 697
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 57, 332, 743, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 332, 743, 697 is 1.
Therefore, GCD of numbers 57, 332, 743, 697 is 1
Given Input Data is 57, 332, 743, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 743 is 743
Prime Factorization of 697 is 17 x 41
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(57, 332) = 18924
GCD(57, 332) = ( 57 x 332 ) / 18924
GCD(57, 332) = 18924 / 18924
GCD(57, 332) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 57, 332, 743, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 332, 743, 697?
GCD of 57, 332, 743, 697 is 1
2. Where do I get the detailed procedure to find GCD of 57, 332, 743, 697?
You can find a detailed procedure to find GCD of 57, 332, 743, 697 on our page.
3. How to find GCD of 57, 332, 743, 697 on a calculator?
You can find the GCD of 57, 332, 743, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.