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, 749, 909 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 749, 909 is 1
GCD(738, 749, 909) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 749, 909 is 1
GCD(738, 749, 909) = 1
Given Input numbers are 738, 749, 909
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 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Greatest Common Divisior
We found the divisors of 738, 749, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 749, 909 is 1.
Therefore, GCD of numbers 738, 749, 909 is 1
Given Input Data is 738, 749, 909
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 749 is 7 x 107
Prime Factorization of 909 is 3 x 3 x 101
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, 749) = 552762
GCD(738, 749) = ( 738 x 749 ) / 552762
GCD(738, 749) = 552762 / 552762
GCD(738, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
GCD(1, 909) = 909 / 909
GCD(1, 909) = 1
GCD of 738, 749, 909 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 749, 909?
GCD of 738, 749, 909 is 1
2. Where do I get the detailed procedure to find GCD of 738, 749, 909?
You can find a detailed procedure to find GCD of 738, 749, 909 on our page.
3. How to find GCD of 738, 749, 909 on a calculator?
You can find the GCD of 738, 749, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.