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 755, 272, 82, 450 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 272, 82, 450 is 1
GCD(755, 272, 82, 450) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 272, 82, 450 is 1
GCD(755, 272, 82, 450) = 1
Given Input numbers are 755, 272, 82, 450
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
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 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Greatest Common Divisior
We found the divisors of 755, 272, 82, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 272, 82, 450 is 1.
Therefore, GCD of numbers 755, 272, 82, 450 is 1
Given Input Data is 755, 272, 82, 450
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 82 is 2 x 41
Prime Factorization of 450 is 2 x 3 x 3 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(755, 272) = 205360
GCD(755, 272) = ( 755 x 272 ) / 205360
GCD(755, 272) = 205360 / 205360
GCD(755, 272) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
GCD of 755, 272, 82, 450 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 272, 82, 450?
GCD of 755, 272, 82, 450 is 1
2. Where do I get the detailed procedure to find GCD of 755, 272, 82, 450?
You can find a detailed procedure to find GCD of 755, 272, 82, 450 on our page.
3. How to find GCD of 755, 272, 82, 450 on a calculator?
You can find the GCD of 755, 272, 82, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.