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 838, 553, 45, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 553, 45, 336 is 1
GCD(838, 553, 45, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 553, 45, 336 is 1
GCD(838, 553, 45, 336) = 1
Given Input numbers are 838, 553, 45, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 838, 553, 45, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 553, 45, 336 is 1.
Therefore, GCD of numbers 838, 553, 45, 336 is 1
Given Input Data is 838, 553, 45, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 553 is 7 x 79
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(838, 553) = 463414
GCD(838, 553) = ( 838 x 553 ) / 463414
GCD(838, 553) = 463414 / 463414
GCD(838, 553) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 838, 553, 45, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 553, 45, 336?
GCD of 838, 553, 45, 336 is 1
2. Where do I get the detailed procedure to find GCD of 838, 553, 45, 336?
You can find a detailed procedure to find GCD of 838, 553, 45, 336 on our page.
3. How to find GCD of 838, 553, 45, 336 on a calculator?
You can find the GCD of 838, 553, 45, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.