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 732, 600, 72, 280 i.e. 4 largest integer that divides all the numbers equally.
GCD of 732, 600, 72, 280 is 4
GCD(732, 600, 72, 280) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 600, 72, 280 is 4
GCD(732, 600, 72, 280) = 4
Given Input numbers are 732, 600, 72, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 732, 600, 72, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 600, 72, 280 is 4.
Therefore, GCD of numbers 732, 600, 72, 280 is 4
Given Input Data is 732, 600, 72, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(732, 600) = 36600
GCD(732, 600) = ( 732 x 600 ) / 36600
GCD(732, 600) = 439200 / 36600
GCD(732, 600) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 72) = 72
GCD(12, 72) = ( 12 x 72 ) / 72
GCD(12, 72) = 864 / 72
GCD(12, 72) = 12
Step3:
Here we consider the GCD from the above i.e. 12 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 280) = 840
GCD(12, 280) = ( 12 x 280 ) / 840
GCD(12, 280) = 3360 / 840
GCD(12, 280) = 4
GCD of 732, 600, 72, 280 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 600, 72, 280?
GCD of 732, 600, 72, 280 is 4
2. Where do I get the detailed procedure to find GCD of 732, 600, 72, 280?
You can find a detailed procedure to find GCD of 732, 600, 72, 280 on our page.
3. How to find GCD of 732, 600, 72, 280 on a calculator?
You can find the GCD of 732, 600, 72, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.