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 76, 820, 602, 273 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 820, 602, 273 is 1
GCD(76, 820, 602, 273) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 820, 602, 273 is 1
GCD(76, 820, 602, 273) = 1
Given Input numbers are 76, 820, 602, 273
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
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 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Greatest Common Divisior
We found the divisors of 76, 820, 602, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 820, 602, 273 is 1.
Therefore, GCD of numbers 76, 820, 602, 273 is 1
Given Input Data is 76, 820, 602, 273
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 273 is 3 x 7 x 13
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(76, 820) = 15580
GCD(76, 820) = ( 76 x 820 ) / 15580
GCD(76, 820) = 62320 / 15580
GCD(76, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 602) = 1204
GCD(4, 602) = ( 4 x 602 ) / 1204
GCD(4, 602) = 2408 / 1204
GCD(4, 602) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 273) = 546
GCD(2, 273) = ( 2 x 273 ) / 546
GCD(2, 273) = 546 / 546
GCD(2, 273) = 1
GCD of 76, 820, 602, 273 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 820, 602, 273?
GCD of 76, 820, 602, 273 is 1
2. Where do I get the detailed procedure to find GCD of 76, 820, 602, 273?
You can find a detailed procedure to find GCD of 76, 820, 602, 273 on our page.
3. How to find GCD of 76, 820, 602, 273 on a calculator?
You can find the GCD of 76, 820, 602, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.