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 602, 872, 48, 900 i.e. 2 largest integer that divides all the numbers equally.
GCD of 602, 872, 48, 900 is 2
GCD(602, 872, 48, 900) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 602, 872, 48, 900 is 2
GCD(602, 872, 48, 900) = 2
Given Input numbers are 602, 872, 48, 900
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
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 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greatest Common Divisior
We found the divisors of 602, 872, 48, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 872, 48, 900 is 2.
Therefore, GCD of numbers 602, 872, 48, 900 is 2
Given Input Data is 602, 872, 48, 900
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
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(602, 872) = 262472
GCD(602, 872) = ( 602 x 872 ) / 262472
GCD(602, 872) = 524944 / 262472
GCD(602, 872) = 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 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
GCD(2, 900) = 1800 / 900
GCD(2, 900) = 2
GCD of 602, 872, 48, 900 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 602, 872, 48, 900?
GCD of 602, 872, 48, 900 is 2
2. Where do I get the detailed procedure to find GCD of 602, 872, 48, 900?
You can find a detailed procedure to find GCD of 602, 872, 48, 900 on our page.
3. How to find GCD of 602, 872, 48, 900 on a calculator?
You can find the GCD of 602, 872, 48, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.