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 214, 387, 692, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 214, 387, 692, 741 is 1
GCD(214, 387, 692, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 214, 387, 692, 741 is 1
GCD(214, 387, 692, 741) = 1
Given Input numbers are 214, 387, 692, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 214, 387, 692, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 387, 692, 741 is 1.
Therefore, GCD of numbers 214, 387, 692, 741 is 1
Given Input Data is 214, 387, 692, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 214 is 2 x 107
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 741 is 3 x 13 x 19
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(214, 387) = 82818
GCD(214, 387) = ( 214 x 387 ) / 82818
GCD(214, 387) = 82818 / 82818
GCD(214, 387) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
GCD of 214, 387, 692, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 214, 387, 692, 741?
GCD of 214, 387, 692, 741 is 1
2. Where do I get the detailed procedure to find GCD of 214, 387, 692, 741?
You can find a detailed procedure to find GCD of 214, 387, 692, 741 on our page.
3. How to find GCD of 214, 387, 692, 741 on a calculator?
You can find the GCD of 214, 387, 692, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.