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 683, 140, 553, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 683, 140, 553, 180 is 1
GCD(683, 140, 553, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 683, 140, 553, 180 is 1
GCD(683, 140, 553, 180) = 1
Given Input numbers are 683, 140, 553, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
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
Greatest Common Divisior
We found the divisors of 683, 140, 553, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 140, 553, 180 is 1.
Therefore, GCD of numbers 683, 140, 553, 180 is 1
Given Input Data is 683, 140, 553, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 683 is 683
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 553 is 7 x 79
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(683, 140) = 95620
GCD(683, 140) = ( 683 x 140 ) / 95620
GCD(683, 140) = 95620 / 95620
GCD(683, 140) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 683, 140, 553, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 683, 140, 553, 180?
GCD of 683, 140, 553, 180 is 1
2. Where do I get the detailed procedure to find GCD of 683, 140, 553, 180?
You can find a detailed procedure to find GCD of 683, 140, 553, 180 on our page.
3. How to find GCD of 683, 140, 553, 180 on a calculator?
You can find the GCD of 683, 140, 553, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.