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 874, 884, 48, 554 i.e. 2 largest integer that divides all the numbers equally.
GCD of 874, 884, 48, 554 is 2
GCD(874, 884, 48, 554) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 884, 48, 554 is 2
GCD(874, 884, 48, 554) = 2
Given Input numbers are 874, 884, 48, 554
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Greatest Common Divisior
We found the divisors of 874, 884, 48, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 884, 48, 554 is 2.
Therefore, GCD of numbers 874, 884, 48, 554 is 2
Given Input Data is 874, 884, 48, 554
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 554 is 2 x 277
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(874, 884) = 386308
GCD(874, 884) = ( 874 x 884 ) / 386308
GCD(874, 884) = 772616 / 386308
GCD(874, 884) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 554
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 554) = 554
GCD(2, 554) = ( 2 x 554 ) / 554
GCD(2, 554) = 1108 / 554
GCD(2, 554) = 2
GCD of 874, 884, 48, 554 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 884, 48, 554?
GCD of 874, 884, 48, 554 is 2
2. Where do I get the detailed procedure to find GCD of 874, 884, 48, 554?
You can find a detailed procedure to find GCD of 874, 884, 48, 554 on our page.
3. How to find GCD of 874, 884, 48, 554 on a calculator?
You can find the GCD of 874, 884, 48, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.