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 775, 145, 43, 910 i.e. 1 largest integer that divides all the numbers equally.
GCD of 775, 145, 43, 910 is 1
GCD(775, 145, 43, 910) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 775, 145, 43, 910 is 1
GCD(775, 145, 43, 910) = 1
Given Input numbers are 775, 145, 43, 910
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Greatest Common Divisior
We found the divisors of 775, 145, 43, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 145, 43, 910 is 1.
Therefore, GCD of numbers 775, 145, 43, 910 is 1
Given Input Data is 775, 145, 43, 910
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 145 is 5 x 29
Prime Factorization of 43 is 43
Prime Factorization of 910 is 2 x 5 x 7 x 13
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(775, 145) = 22475
GCD(775, 145) = ( 775 x 145 ) / 22475
GCD(775, 145) = 112375 / 22475
GCD(775, 145) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 43) = 215
GCD(5, 43) = ( 5 x 43 ) / 215
GCD(5, 43) = 215 / 215
GCD(5, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 910) = 910
GCD(1, 910) = ( 1 x 910 ) / 910
GCD(1, 910) = 910 / 910
GCD(1, 910) = 1
GCD of 775, 145, 43, 910 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 775, 145, 43, 910?
GCD of 775, 145, 43, 910 is 1
2. Where do I get the detailed procedure to find GCD of 775, 145, 43, 910?
You can find a detailed procedure to find GCD of 775, 145, 43, 910 on our page.
3. How to find GCD of 775, 145, 43, 910 on a calculator?
You can find the GCD of 775, 145, 43, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.