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 116, 551, 154, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 551, 154, 655 is 1
GCD(116, 551, 154, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 551, 154, 655 is 1
GCD(116, 551, 154, 655) = 1
Given Input numbers are 116, 551, 154, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 116, 551, 154, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 551, 154, 655 is 1.
Therefore, GCD of numbers 116, 551, 154, 655 is 1
Given Input Data is 116, 551, 154, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 551 is 19 x 29
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 655 is 5 x 131
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(116, 551) = 2204
GCD(116, 551) = ( 116 x 551 ) / 2204
GCD(116, 551) = 63916 / 2204
GCD(116, 551) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 154) = 4466
GCD(29, 154) = ( 29 x 154 ) / 4466
GCD(29, 154) = 4466 / 4466
GCD(29, 154) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 116, 551, 154, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 551, 154, 655?
GCD of 116, 551, 154, 655 is 1
2. Where do I get the detailed procedure to find GCD of 116, 551, 154, 655?
You can find a detailed procedure to find GCD of 116, 551, 154, 655 on our page.
3. How to find GCD of 116, 551, 154, 655 on a calculator?
You can find the GCD of 116, 551, 154, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.