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 738, 826, 95, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 826, 95, 685 is 1
GCD(738, 826, 95, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 826, 95, 685 is 1
GCD(738, 826, 95, 685) = 1
Given Input numbers are 738, 826, 95, 685
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 738, 826, 95, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 826, 95, 685 is 1.
Therefore, GCD of numbers 738, 826, 95, 685 is 1
Given Input Data is 738, 826, 95, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 95 is 5 x 19
Prime Factorization of 685 is 5 x 137
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(738, 826) = 304794
GCD(738, 826) = ( 738 x 826 ) / 304794
GCD(738, 826) = 609588 / 304794
GCD(738, 826) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 95) = 190
GCD(2, 95) = ( 2 x 95 ) / 190
GCD(2, 95) = 190 / 190
GCD(2, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
GCD of 738, 826, 95, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 826, 95, 685?
GCD of 738, 826, 95, 685 is 1
2. Where do I get the detailed procedure to find GCD of 738, 826, 95, 685?
You can find a detailed procedure to find GCD of 738, 826, 95, 685 on our page.
3. How to find GCD of 738, 826, 95, 685 on a calculator?
You can find the GCD of 738, 826, 95, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.