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 55, 465, 126, 182 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 465, 126, 182 is 1
GCD(55, 465, 126, 182) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 465, 126, 182 is 1
GCD(55, 465, 126, 182) = 1
Given Input numbers are 55, 465, 126, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 55, 465, 126, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 465, 126, 182 is 1.
Therefore, GCD of numbers 55, 465, 126, 182 is 1
Given Input Data is 55, 465, 126, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 182 is 2 x 7 x 13
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(55, 465) = 5115
GCD(55, 465) = ( 55 x 465 ) / 5115
GCD(55, 465) = 25575 / 5115
GCD(55, 465) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 126) = 630
GCD(5, 126) = ( 5 x 126 ) / 630
GCD(5, 126) = 630 / 630
GCD(5, 126) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
GCD(1, 182) = 182 / 182
GCD(1, 182) = 1
GCD of 55, 465, 126, 182 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 465, 126, 182?
GCD of 55, 465, 126, 182 is 1
2. Where do I get the detailed procedure to find GCD of 55, 465, 126, 182?
You can find a detailed procedure to find GCD of 55, 465, 126, 182 on our page.
3. How to find GCD of 55, 465, 126, 182 on a calculator?
You can find the GCD of 55, 465, 126, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.