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 91, 771, 279, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 771, 279, 168 is 1
GCD(91, 771, 279, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 771, 279, 168 is 1
GCD(91, 771, 279, 168) = 1
Given Input numbers are 91, 771, 279, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 91, 771, 279, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 771, 279, 168 is 1.
Therefore, GCD of numbers 91, 771, 279, 168 is 1
Given Input Data is 91, 771, 279, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 771 is 3 x 257
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
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(91, 771) = 70161
GCD(91, 771) = ( 91 x 771 ) / 70161
GCD(91, 771) = 70161 / 70161
GCD(91, 771) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 91, 771, 279, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 771, 279, 168?
GCD of 91, 771, 279, 168 is 1
2. Where do I get the detailed procedure to find GCD of 91, 771, 279, 168?
You can find a detailed procedure to find GCD of 91, 771, 279, 168 on our page.
3. How to find GCD of 91, 771, 279, 168 on a calculator?
You can find the GCD of 91, 771, 279, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.