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 80, 272, 451, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 272, 451, 931 is 1
GCD(80, 272, 451, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 272, 451, 931 is 1
GCD(80, 272, 451, 931) = 1
Given Input numbers are 80, 272, 451, 931
To find the GCD of numbers using factoring list out all the divisors of each number
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 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 80, 272, 451, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 272, 451, 931 is 1.
Therefore, GCD of numbers 80, 272, 451, 931 is 1
Given Input Data is 80, 272, 451, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 451 is 11 x 41
Prime Factorization of 931 is 7 x 7 x 19
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(80, 272) = 1360
GCD(80, 272) = ( 80 x 272 ) / 1360
GCD(80, 272) = 21760 / 1360
GCD(80, 272) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 451
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 451) = 7216
GCD(16, 451) = ( 16 x 451 ) / 7216
GCD(16, 451) = 7216 / 7216
GCD(16, 451) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
GCD of 80, 272, 451, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 272, 451, 931?
GCD of 80, 272, 451, 931 is 1
2. Where do I get the detailed procedure to find GCD of 80, 272, 451, 931?
You can find a detailed procedure to find GCD of 80, 272, 451, 931 on our page.
3. How to find GCD of 80, 272, 451, 931 on a calculator?
You can find the GCD of 80, 272, 451, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.