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 720, 881, 142, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 881, 142, 400 is 1
GCD(720, 881, 142, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 881, 142, 400 is 1
GCD(720, 881, 142, 400) = 1
Given Input numbers are 720, 881, 142, 400
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 720, 881, 142, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 881, 142, 400 is 1.
Therefore, GCD of numbers 720, 881, 142, 400 is 1
Given Input Data is 720, 881, 142, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 881 is 881
Prime Factorization of 142 is 2 x 71
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 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(720, 881) = 634320
GCD(720, 881) = ( 720 x 881 ) / 634320
GCD(720, 881) = 634320 / 634320
GCD(720, 881) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 720, 881, 142, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 881, 142, 400?
GCD of 720, 881, 142, 400 is 1
2. Where do I get the detailed procedure to find GCD of 720, 881, 142, 400?
You can find a detailed procedure to find GCD of 720, 881, 142, 400 on our page.
3. How to find GCD of 720, 881, 142, 400 on a calculator?
You can find the GCD of 720, 881, 142, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.