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 852, 220, 25, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 220, 25, 720 is 1
GCD(852, 220, 25, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 220, 25, 720 is 1
GCD(852, 220, 25, 720) = 1
Given Input numbers are 852, 220, 25, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 852, 220, 25, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 220, 25, 720 is 1.
Therefore, GCD of numbers 852, 220, 25, 720 is 1
Given Input Data is 852, 220, 25, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 25 is 5 x 5
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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(852, 220) = 46860
GCD(852, 220) = ( 852 x 220 ) / 46860
GCD(852, 220) = 187440 / 46860
GCD(852, 220) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 25) = 100
GCD(4, 25) = ( 4 x 25 ) / 100
GCD(4, 25) = 100 / 100
GCD(4, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 852, 220, 25, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 220, 25, 720?
GCD of 852, 220, 25, 720 is 1
2. Where do I get the detailed procedure to find GCD of 852, 220, 25, 720?
You can find a detailed procedure to find GCD of 852, 220, 25, 720 on our page.
3. How to find GCD of 852, 220, 25, 720 on a calculator?
You can find the GCD of 852, 220, 25, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.