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 732, 206, 235, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 732, 206, 235, 371 is 1
GCD(732, 206, 235, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 206, 235, 371 is 1
GCD(732, 206, 235, 371) = 1
Given Input numbers are 732, 206, 235, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 732, 206, 235, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 206, 235, 371 is 1.
Therefore, GCD of numbers 732, 206, 235, 371 is 1
Given Input Data is 732, 206, 235, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 206 is 2 x 103
Prime Factorization of 235 is 5 x 47
Prime Factorization of 371 is 7 x 53
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(732, 206) = 75396
GCD(732, 206) = ( 732 x 206 ) / 75396
GCD(732, 206) = 150792 / 75396
GCD(732, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 235) = 470
GCD(2, 235) = ( 2 x 235 ) / 470
GCD(2, 235) = 470 / 470
GCD(2, 235) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
GCD of 732, 206, 235, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 206, 235, 371?
GCD of 732, 206, 235, 371 is 1
2. Where do I get the detailed procedure to find GCD of 732, 206, 235, 371?
You can find a detailed procedure to find GCD of 732, 206, 235, 371 on our page.
3. How to find GCD of 732, 206, 235, 371 on a calculator?
You can find the GCD of 732, 206, 235, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.