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 84, 182, 503, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 182, 503, 275 is 1
GCD(84, 182, 503, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 182, 503, 275 is 1
GCD(84, 182, 503, 275) = 1
Given Input numbers are 84, 182, 503, 275
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 84, 182, 503, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 182, 503, 275 is 1.
Therefore, GCD of numbers 84, 182, 503, 275 is 1
Given Input Data is 84, 182, 503, 275
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 503 is 503
Prime Factorization of 275 is 5 x 5 x 11
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(84, 182) = 1092
GCD(84, 182) = ( 84 x 182 ) / 1092
GCD(84, 182) = 15288 / 1092
GCD(84, 182) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 503) = 7042
GCD(14, 503) = ( 14 x 503 ) / 7042
GCD(14, 503) = 7042 / 7042
GCD(14, 503) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
GCD(1, 275) = 275 / 275
GCD(1, 275) = 1
GCD of 84, 182, 503, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 182, 503, 275?
GCD of 84, 182, 503, 275 is 1
2. Where do I get the detailed procedure to find GCD of 84, 182, 503, 275?
You can find a detailed procedure to find GCD of 84, 182, 503, 275 on our page.
3. How to find GCD of 84, 182, 503, 275 on a calculator?
You can find the GCD of 84, 182, 503, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.