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 153, 973, 40, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 973, 40, 680 is 1
GCD(153, 973, 40, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 973, 40, 680 is 1
GCD(153, 973, 40, 680) = 1
Given Input numbers are 153, 973, 40, 680
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 153, 973, 40, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 973, 40, 680 is 1.
Therefore, GCD of numbers 153, 973, 40, 680 is 1
Given Input Data is 153, 973, 40, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 973 is 7 x 139
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(153, 973) = 148869
GCD(153, 973) = ( 153 x 973 ) / 148869
GCD(153, 973) = 148869 / 148869
GCD(153, 973) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
GCD of 153, 973, 40, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 973, 40, 680?
GCD of 153, 973, 40, 680 is 1
2. Where do I get the detailed procedure to find GCD of 153, 973, 40, 680?
You can find a detailed procedure to find GCD of 153, 973, 40, 680 on our page.
3. How to find GCD of 153, 973, 40, 680 on a calculator?
You can find the GCD of 153, 973, 40, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.