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, 158, 34, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 158, 34, 874 is 1
GCD(553, 158, 34, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 158, 34, 874 is 1
GCD(553, 158, 34, 874) = 1
Given Input numbers are 553, 158, 34, 874
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 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 553, 158, 34, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 158, 34, 874 is 1.
Therefore, GCD of numbers 553, 158, 34, 874 is 1
Given Input Data is 553, 158, 34, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 158 is 2 x 79
Prime Factorization of 34 is 2 x 17
Prime Factorization of 874 is 2 x 19 x 23
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, 158) = 1106
GCD(553, 158) = ( 553 x 158 ) / 1106
GCD(553, 158) = 87374 / 1106
GCD(553, 158) = 79
Step2:
Here we consider the GCD from the above i.e. 79 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(79, 34) = 2686
GCD(79, 34) = ( 79 x 34 ) / 2686
GCD(79, 34) = 2686 / 2686
GCD(79, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 553, 158, 34, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 158, 34, 874?
GCD of 553, 158, 34, 874 is 1
2. Where do I get the detailed procedure to find GCD of 553, 158, 34, 874?
You can find a detailed procedure to find GCD of 553, 158, 34, 874 on our page.
3. How to find GCD of 553, 158, 34, 874 on a calculator?
You can find the GCD of 553, 158, 34, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.