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 735, 965, 136, 909 i.e. 1 largest integer that divides all the numbers equally.
GCD of 735, 965, 136, 909 is 1
GCD(735, 965, 136, 909) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 965, 136, 909 is 1
GCD(735, 965, 136, 909) = 1
Given Input numbers are 735, 965, 136, 909
To find the GCD of numbers using factoring list out all the divisors of each number
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 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
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 735, 965, 136, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 965, 136, 909 is 1.
Therefore, GCD of numbers 735, 965, 136, 909 is 1
Given Input Data is 735, 965, 136, 909
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 965 is 5 x 193
Prime Factorization of 136 is 2 x 2 x 2 x 17
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(735, 965) = 141855
GCD(735, 965) = ( 735 x 965 ) / 141855
GCD(735, 965) = 709275 / 141855
GCD(735, 965) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 136) = 680
GCD(5, 136) = ( 5 x 136 ) / 680
GCD(5, 136) = 680 / 680
GCD(5, 136) = 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 735, 965, 136, 909 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 735, 965, 136, 909?
GCD of 735, 965, 136, 909 is 1
2. Where do I get the detailed procedure to find GCD of 735, 965, 136, 909?
You can find a detailed procedure to find GCD of 735, 965, 136, 909 on our page.
3. How to find GCD of 735, 965, 136, 909 on a calculator?
You can find the GCD of 735, 965, 136, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.