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 77, 805, 203, 268 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 805, 203, 268 is 1
GCD(77, 805, 203, 268) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 805, 203, 268 is 1
GCD(77, 805, 203, 268) = 1
Given Input numbers are 77, 805, 203, 268
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Greatest Common Divisior
We found the divisors of 77, 805, 203, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 805, 203, 268 is 1.
Therefore, GCD of numbers 77, 805, 203, 268 is 1
Given Input Data is 77, 805, 203, 268
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 203 is 7 x 29
Prime Factorization of 268 is 2 x 2 x 67
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(77, 805) = 8855
GCD(77, 805) = ( 77 x 805 ) / 8855
GCD(77, 805) = 61985 / 8855
GCD(77, 805) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 203) = 203
GCD(7, 203) = ( 7 x 203 ) / 203
GCD(7, 203) = 1421 / 203
GCD(7, 203) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 268) = 1876
GCD(7, 268) = ( 7 x 268 ) / 1876
GCD(7, 268) = 1876 / 1876
GCD(7, 268) = 1
GCD of 77, 805, 203, 268 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 805, 203, 268?
GCD of 77, 805, 203, 268 is 1
2. Where do I get the detailed procedure to find GCD of 77, 805, 203, 268?
You can find a detailed procedure to find GCD of 77, 805, 203, 268 on our page.
3. How to find GCD of 77, 805, 203, 268 on a calculator?
You can find the GCD of 77, 805, 203, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.