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, 867, 357, 417 i.e. 1 largest integer that divides all the numbers equally.
GCD of 692, 867, 357, 417 is 1
GCD(692, 867, 357, 417) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 867, 357, 417 is 1
GCD(692, 867, 357, 417) = 1
Given Input numbers are 692, 867, 357, 417
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 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Greatest Common Divisior
We found the divisors of 692, 867, 357, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 867, 357, 417 is 1.
Therefore, GCD of numbers 692, 867, 357, 417 is 1
Given Input Data is 692, 867, 357, 417
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 867 is 3 x 17 x 17
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 417 is 3 x 139
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, 867) = 599964
GCD(692, 867) = ( 692 x 867 ) / 599964
GCD(692, 867) = 599964 / 599964
GCD(692, 867) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 417
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 417) = 417
GCD(1, 417) = ( 1 x 417 ) / 417
GCD(1, 417) = 417 / 417
GCD(1, 417) = 1
GCD of 692, 867, 357, 417 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 867, 357, 417?
GCD of 692, 867, 357, 417 is 1
2. Where do I get the detailed procedure to find GCD of 692, 867, 357, 417?
You can find a detailed procedure to find GCD of 692, 867, 357, 417 on our page.
3. How to find GCD of 692, 867, 357, 417 on a calculator?
You can find the GCD of 692, 867, 357, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.