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 553, 837, 691, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 837, 691, 171 is 1
GCD(553, 837, 691, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 837, 691, 171 is 1
GCD(553, 837, 691, 171) = 1
Given Input numbers are 553, 837, 691, 171
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 553, 837, 691, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 837, 691, 171 is 1.
Therefore, GCD of numbers 553, 837, 691, 171 is 1
Given Input Data is 553, 837, 691, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 691 is 691
Prime Factorization of 171 is 3 x 3 x 19
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(553, 837) = 462861
GCD(553, 837) = ( 553 x 837 ) / 462861
GCD(553, 837) = 462861 / 462861
GCD(553, 837) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
GCD of 553, 837, 691, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 837, 691, 171?
GCD of 553, 837, 691, 171 is 1
2. Where do I get the detailed procedure to find GCD of 553, 837, 691, 171?
You can find a detailed procedure to find GCD of 553, 837, 691, 171 on our page.
3. How to find GCD of 553, 837, 691, 171 on a calculator?
You can find the GCD of 553, 837, 691, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.