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 919, 682, 385, 754 i.e. 1 largest integer that divides all the numbers equally.
GCD of 919, 682, 385, 754 is 1
GCD(919, 682, 385, 754) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 919, 682, 385, 754 is 1
GCD(919, 682, 385, 754) = 1
Given Input numbers are 919, 682, 385, 754
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Greatest Common Divisior
We found the divisors of 919, 682, 385, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 682, 385, 754 is 1.
Therefore, GCD of numbers 919, 682, 385, 754 is 1
Given Input Data is 919, 682, 385, 754
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 919 is 919
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 754 is 2 x 13 x 29
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(919, 682) = 626758
GCD(919, 682) = ( 919 x 682 ) / 626758
GCD(919, 682) = 626758 / 626758
GCD(919, 682) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
GCD of 919, 682, 385, 754 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 919, 682, 385, 754?
GCD of 919, 682, 385, 754 is 1
2. Where do I get the detailed procedure to find GCD of 919, 682, 385, 754?
You can find a detailed procedure to find GCD of 919, 682, 385, 754 on our page.
3. How to find GCD of 919, 682, 385, 754 on a calculator?
You can find the GCD of 919, 682, 385, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.