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 207, 969, 72, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 207, 969, 72, 755 is 1
GCD(207, 969, 72, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 969, 72, 755 is 1
GCD(207, 969, 72, 755) = 1
Given Input numbers are 207, 969, 72, 755
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 207, 969, 72, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 969, 72, 755 is 1.
Therefore, GCD of numbers 207, 969, 72, 755 is 1
Given Input Data is 207, 969, 72, 755
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 755 is 5 x 151
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(207, 969) = 66861
GCD(207, 969) = ( 207 x 969 ) / 66861
GCD(207, 969) = 200583 / 66861
GCD(207, 969) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
GCD(3, 72) = 216 / 72
GCD(3, 72) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 755) = 2265
GCD(3, 755) = ( 3 x 755 ) / 2265
GCD(3, 755) = 2265 / 2265
GCD(3, 755) = 1
GCD of 207, 969, 72, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 969, 72, 755?
GCD of 207, 969, 72, 755 is 1
2. Where do I get the detailed procedure to find GCD of 207, 969, 72, 755?
You can find a detailed procedure to find GCD of 207, 969, 72, 755 on our page.
3. How to find GCD of 207, 969, 72, 755 on a calculator?
You can find the GCD of 207, 969, 72, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.