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 240, 187, 97, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 187, 97, 778 is 1
GCD(240, 187, 97, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 187, 97, 778 is 1
GCD(240, 187, 97, 778) = 1
Given Input numbers are 240, 187, 97, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 240, 187, 97, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 187, 97, 778 is 1.
Therefore, GCD of numbers 240, 187, 97, 778 is 1
Given Input Data is 240, 187, 97, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 187 is 11 x 17
Prime Factorization of 97 is 97
Prime Factorization of 778 is 2 x 389
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(240, 187) = 44880
GCD(240, 187) = ( 240 x 187 ) / 44880
GCD(240, 187) = 44880 / 44880
GCD(240, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 240, 187, 97, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 187, 97, 778?
GCD of 240, 187, 97, 778 is 1
2. Where do I get the detailed procedure to find GCD of 240, 187, 97, 778?
You can find a detailed procedure to find GCD of 240, 187, 97, 778 on our page.
3. How to find GCD of 240, 187, 97, 778 on a calculator?
You can find the GCD of 240, 187, 97, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.