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 886, 716, 72, 407 i.e. 1 largest integer that divides all the numbers equally.
GCD of 886, 716, 72, 407 is 1
GCD(886, 716, 72, 407) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 886, 716, 72, 407 is 1
GCD(886, 716, 72, 407) = 1
Given Input numbers are 886, 716, 72, 407
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
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 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Greatest Common Divisior
We found the divisors of 886, 716, 72, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 716, 72, 407 is 1.
Therefore, GCD of numbers 886, 716, 72, 407 is 1
Given Input Data is 886, 716, 72, 407
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 886 is 2 x 443
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 407 is 11 x 37
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(886, 716) = 317188
GCD(886, 716) = ( 886 x 716 ) / 317188
GCD(886, 716) = 634376 / 317188
GCD(886, 716) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 407) = 814
GCD(2, 407) = ( 2 x 407 ) / 814
GCD(2, 407) = 814 / 814
GCD(2, 407) = 1
GCD of 886, 716, 72, 407 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 886, 716, 72, 407?
GCD of 886, 716, 72, 407 is 1
2. Where do I get the detailed procedure to find GCD of 886, 716, 72, 407?
You can find a detailed procedure to find GCD of 886, 716, 72, 407 on our page.
3. How to find GCD of 886, 716, 72, 407 on a calculator?
You can find the GCD of 886, 716, 72, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.