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, 835, 35, 638 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 835, 35, 638 is 1
GCD(553, 835, 35, 638) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 835, 35, 638 is 1
GCD(553, 835, 35, 638) = 1
Given Input numbers are 553, 835, 35, 638
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 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Greatest Common Divisior
We found the divisors of 553, 835, 35, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 835, 35, 638 is 1.
Therefore, GCD of numbers 553, 835, 35, 638 is 1
Given Input Data is 553, 835, 35, 638
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 835 is 5 x 167
Prime Factorization of 35 is 5 x 7
Prime Factorization of 638 is 2 x 11 x 29
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, 835) = 461755
GCD(553, 835) = ( 553 x 835 ) / 461755
GCD(553, 835) = 461755 / 461755
GCD(553, 835) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 638) = 638
GCD(1, 638) = ( 1 x 638 ) / 638
GCD(1, 638) = 638 / 638
GCD(1, 638) = 1
GCD of 553, 835, 35, 638 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 835, 35, 638?
GCD of 553, 835, 35, 638 is 1
2. Where do I get the detailed procedure to find GCD of 553, 835, 35, 638?
You can find a detailed procedure to find GCD of 553, 835, 35, 638 on our page.
3. How to find GCD of 553, 835, 35, 638 on a calculator?
You can find the GCD of 553, 835, 35, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.