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 275, 820, 47, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 820, 47, 954 is 1
GCD(275, 820, 47, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 820, 47, 954 is 1
GCD(275, 820, 47, 954) = 1
Given Input numbers are 275, 820, 47, 954
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Greatest Common Divisior
We found the divisors of 275, 820, 47, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 820, 47, 954 is 1.
Therefore, GCD of numbers 275, 820, 47, 954 is 1
Given Input Data is 275, 820, 47, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 47 is 47
Prime Factorization of 954 is 2 x 3 x 3 x 53
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(275, 820) = 45100
GCD(275, 820) = ( 275 x 820 ) / 45100
GCD(275, 820) = 225500 / 45100
GCD(275, 820) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 47) = 235
GCD(5, 47) = ( 5 x 47 ) / 235
GCD(5, 47) = 235 / 235
GCD(5, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 954) = 954
GCD(1, 954) = ( 1 x 954 ) / 954
GCD(1, 954) = 954 / 954
GCD(1, 954) = 1
GCD of 275, 820, 47, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 820, 47, 954?
GCD of 275, 820, 47, 954 is 1
2. Where do I get the detailed procedure to find GCD of 275, 820, 47, 954?
You can find a detailed procedure to find GCD of 275, 820, 47, 954 on our page.
3. How to find GCD of 275, 820, 47, 954 on a calculator?
You can find the GCD of 275, 820, 47, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.