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 349, 180, 507, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 180, 507, 757 is 1
GCD(349, 180, 507, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 180, 507, 757 is 1
GCD(349, 180, 507, 757) = 1
Given Input numbers are 349, 180, 507, 757
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 349, 180, 507, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 180, 507, 757 is 1.
Therefore, GCD of numbers 349, 180, 507, 757 is 1
Given Input Data is 349, 180, 507, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 757 is 757
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(349, 180) = 62820
GCD(349, 180) = ( 349 x 180 ) / 62820
GCD(349, 180) = 62820 / 62820
GCD(349, 180) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
GCD of 349, 180, 507, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 180, 507, 757?
GCD of 349, 180, 507, 757 is 1
2. Where do I get the detailed procedure to find GCD of 349, 180, 507, 757?
You can find a detailed procedure to find GCD of 349, 180, 507, 757 on our page.
3. How to find GCD of 349, 180, 507, 757 on a calculator?
You can find the GCD of 349, 180, 507, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.