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 760, 769, 45, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 769, 45, 918 is 1
GCD(760, 769, 45, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 769, 45, 918 is 1
GCD(760, 769, 45, 918) = 1
Given Input numbers are 760, 769, 45, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 760, 769, 45, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 769, 45, 918 is 1.
Therefore, GCD of numbers 760, 769, 45, 918 is 1
Given Input Data is 760, 769, 45, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 769 is 769
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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(760, 769) = 584440
GCD(760, 769) = ( 760 x 769 ) / 584440
GCD(760, 769) = 584440 / 584440
GCD(760, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 760, 769, 45, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 769, 45, 918?
GCD of 760, 769, 45, 918 is 1
2. Where do I get the detailed procedure to find GCD of 760, 769, 45, 918?
You can find a detailed procedure to find GCD of 760, 769, 45, 918 on our page.
3. How to find GCD of 760, 769, 45, 918 on a calculator?
You can find the GCD of 760, 769, 45, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.