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 820, 469, 358, 292 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 469, 358, 292 is 1
GCD(820, 469, 358, 292) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 469, 358, 292 is 1
GCD(820, 469, 358, 292) = 1
Given Input numbers are 820, 469, 358, 292
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Greatest Common Divisior
We found the divisors of 820, 469, 358, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 469, 358, 292 is 1.
Therefore, GCD of numbers 820, 469, 358, 292 is 1
Given Input Data is 820, 469, 358, 292
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 469 is 7 x 67
Prime Factorization of 358 is 2 x 179
Prime Factorization of 292 is 2 x 2 x 73
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(820, 469) = 384580
GCD(820, 469) = ( 820 x 469 ) / 384580
GCD(820, 469) = 384580 / 384580
GCD(820, 469) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
GCD of 820, 469, 358, 292 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 469, 358, 292?
GCD of 820, 469, 358, 292 is 1
2. Where do I get the detailed procedure to find GCD of 820, 469, 358, 292?
You can find a detailed procedure to find GCD of 820, 469, 358, 292 on our page.
3. How to find GCD of 820, 469, 358, 292 on a calculator?
You can find the GCD of 820, 469, 358, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.