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 111, 770, 143, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 770, 143, 155 is 1
GCD(111, 770, 143, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 770, 143, 155 is 1
GCD(111, 770, 143, 155) = 1
Given Input numbers are 111, 770, 143, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 111, 770, 143, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 770, 143, 155 is 1.
Therefore, GCD of numbers 111, 770, 143, 155 is 1
Given Input Data is 111, 770, 143, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 143 is 11 x 13
Prime Factorization of 155 is 5 x 31
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(111, 770) = 85470
GCD(111, 770) = ( 111 x 770 ) / 85470
GCD(111, 770) = 85470 / 85470
GCD(111, 770) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 111, 770, 143, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 770, 143, 155?
GCD of 111, 770, 143, 155 is 1
2. Where do I get the detailed procedure to find GCD of 111, 770, 143, 155?
You can find a detailed procedure to find GCD of 111, 770, 143, 155 on our page.
3. How to find GCD of 111, 770, 143, 155 on a calculator?
You can find the GCD of 111, 770, 143, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.