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 273, 771, 76, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 273, 771, 76, 699 is 1
GCD(273, 771, 76, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 771, 76, 699 is 1
GCD(273, 771, 76, 699) = 1
Given Input numbers are 273, 771, 76, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 273, 771, 76, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 771, 76, 699 is 1.
Therefore, GCD of numbers 273, 771, 76, 699 is 1
Given Input Data is 273, 771, 76, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 771 is 3 x 257
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 699 is 3 x 233
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(273, 771) = 70161
GCD(273, 771) = ( 273 x 771 ) / 70161
GCD(273, 771) = 210483 / 70161
GCD(273, 771) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 76) = 228
GCD(3, 76) = ( 3 x 76 ) / 228
GCD(3, 76) = 228 / 228
GCD(3, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 273, 771, 76, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 771, 76, 699?
GCD of 273, 771, 76, 699 is 1
2. Where do I get the detailed procedure to find GCD of 273, 771, 76, 699?
You can find a detailed procedure to find GCD of 273, 771, 76, 699 on our page.
3. How to find GCD of 273, 771, 76, 699 on a calculator?
You can find the GCD of 273, 771, 76, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.