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, 546, 100, 566 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 546, 100, 566 is 1
GCD(55, 546, 100, 566) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 546, 100, 566 is 1
GCD(55, 546, 100, 566) = 1
Given Input numbers are 55, 546, 100, 566
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 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Greatest Common Divisior
We found the divisors of 55, 546, 100, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 546, 100, 566 is 1.
Therefore, GCD of numbers 55, 546, 100, 566 is 1
Given Input Data is 55, 546, 100, 566
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 566 is 2 x 283
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, 546) = 30030
GCD(55, 546) = ( 55 x 546 ) / 30030
GCD(55, 546) = 30030 / 30030
GCD(55, 546) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 566) = 566
GCD(1, 566) = ( 1 x 566 ) / 566
GCD(1, 566) = 566 / 566
GCD(1, 566) = 1
GCD of 55, 546, 100, 566 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 546, 100, 566?
GCD of 55, 546, 100, 566 is 1
2. Where do I get the detailed procedure to find GCD of 55, 546, 100, 566?
You can find a detailed procedure to find GCD of 55, 546, 100, 566 on our page.
3. How to find GCD of 55, 546, 100, 566 on a calculator?
You can find the GCD of 55, 546, 100, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.