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, 749, 80, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 886, 749, 80, 398 is 1
GCD(886, 749, 80, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 886, 749, 80, 398 is 1
GCD(886, 749, 80, 398) = 1
Given Input numbers are 886, 749, 80, 398
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 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 886, 749, 80, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 749, 80, 398 is 1.
Therefore, GCD of numbers 886, 749, 80, 398 is 1
Given Input Data is 886, 749, 80, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 886 is 2 x 443
Prime Factorization of 749 is 7 x 107
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 398 is 2 x 199
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, 749) = 663614
GCD(886, 749) = ( 886 x 749 ) / 663614
GCD(886, 749) = 663614 / 663614
GCD(886, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
GCD of 886, 749, 80, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 886, 749, 80, 398?
GCD of 886, 749, 80, 398 is 1
2. Where do I get the detailed procedure to find GCD of 886, 749, 80, 398?
You can find a detailed procedure to find GCD of 886, 749, 80, 398 on our page.
3. How to find GCD of 886, 749, 80, 398 on a calculator?
You can find the GCD of 886, 749, 80, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.