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 137, 721, 909, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 721, 909, 617 is 1
GCD(137, 721, 909, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 721, 909, 617 is 1
GCD(137, 721, 909, 617) = 1
Given Input numbers are 137, 721, 909, 617
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 137, 721, 909, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 721, 909, 617 is 1.
Therefore, GCD of numbers 137, 721, 909, 617 is 1
Given Input Data is 137, 721, 909, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 721 is 7 x 103
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 617 is 617
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(137, 721) = 98777
GCD(137, 721) = ( 137 x 721 ) / 98777
GCD(137, 721) = 98777 / 98777
GCD(137, 721) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
GCD(1, 617) = 617 / 617
GCD(1, 617) = 1
GCD of 137, 721, 909, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 721, 909, 617?
GCD of 137, 721, 909, 617 is 1
2. Where do I get the detailed procedure to find GCD of 137, 721, 909, 617?
You can find a detailed procedure to find GCD of 137, 721, 909, 617 on our page.
3. How to find GCD of 137, 721, 909, 617 on a calculator?
You can find the GCD of 137, 721, 909, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.