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 174, 730, 735, 909 i.e. 1 largest integer that divides all the numbers equally.
GCD of 174, 730, 735, 909 is 1
GCD(174, 730, 735, 909) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 174, 730, 735, 909 is 1
GCD(174, 730, 735, 909) = 1
Given Input numbers are 174, 730, 735, 909
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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 174, 730, 735, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 730, 735, 909 is 1.
Therefore, GCD of numbers 174, 730, 735, 909 is 1
Given Input Data is 174, 730, 735, 909
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 735 is 3 x 5 x 7 x 7
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(174, 730) = 63510
GCD(174, 730) = ( 174 x 730 ) / 63510
GCD(174, 730) = 127020 / 63510
GCD(174, 730) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 735) = 1470
GCD(2, 735) = ( 2 x 735 ) / 1470
GCD(2, 735) = 1470 / 1470
GCD(2, 735) = 1
Step3:
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 174, 730, 735, 909 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 174, 730, 735, 909?
GCD of 174, 730, 735, 909 is 1
2. Where do I get the detailed procedure to find GCD of 174, 730, 735, 909?
You can find a detailed procedure to find GCD of 174, 730, 735, 909 on our page.
3. How to find GCD of 174, 730, 735, 909 on a calculator?
You can find the GCD of 174, 730, 735, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.