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 117, 832, 669, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 832, 669, 561 is 1
GCD(117, 832, 669, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 832, 669, 561 is 1
GCD(117, 832, 669, 561) = 1
Given Input numbers are 117, 832, 669, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 117, 832, 669, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 832, 669, 561 is 1.
Therefore, GCD of numbers 117, 832, 669, 561 is 1
Given Input Data is 117, 832, 669, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 669 is 3 x 223
Prime Factorization of 561 is 3 x 11 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(117, 832) = 7488
GCD(117, 832) = ( 117 x 832 ) / 7488
GCD(117, 832) = 97344 / 7488
GCD(117, 832) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 669) = 8697
GCD(13, 669) = ( 13 x 669 ) / 8697
GCD(13, 669) = 8697 / 8697
GCD(13, 669) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
GCD of 117, 832, 669, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 832, 669, 561?
GCD of 117, 832, 669, 561 is 1
2. Where do I get the detailed procedure to find GCD of 117, 832, 669, 561?
You can find a detailed procedure to find GCD of 117, 832, 669, 561 on our page.
3. How to find GCD of 117, 832, 669, 561 on a calculator?
You can find the GCD of 117, 832, 669, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.