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 220, 975, 667, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 975, 667, 797 is 1
GCD(220, 975, 667, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 975, 667, 797 is 1
GCD(220, 975, 667, 797) = 1
Given Input numbers are 220, 975, 667, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 220, 975, 667, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 975, 667, 797 is 1.
Therefore, GCD of numbers 220, 975, 667, 797 is 1
Given Input Data is 220, 975, 667, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 667 is 23 x 29
Prime Factorization of 797 is 797
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(220, 975) = 42900
GCD(220, 975) = ( 220 x 975 ) / 42900
GCD(220, 975) = 214500 / 42900
GCD(220, 975) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 667) = 3335
GCD(5, 667) = ( 5 x 667 ) / 3335
GCD(5, 667) = 3335 / 3335
GCD(5, 667) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 220, 975, 667, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 975, 667, 797?
GCD of 220, 975, 667, 797 is 1
2. Where do I get the detailed procedure to find GCD of 220, 975, 667, 797?
You can find a detailed procedure to find GCD of 220, 975, 667, 797 on our page.
3. How to find GCD of 220, 975, 667, 797 on a calculator?
You can find the GCD of 220, 975, 667, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.