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 63, 114, 545, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 114, 545, 655 is 1
GCD(63, 114, 545, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 114, 545, 655 is 1
GCD(63, 114, 545, 655) = 1
Given Input numbers are 63, 114, 545, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 63, 114, 545, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 114, 545, 655 is 1.
Therefore, GCD of numbers 63, 114, 545, 655 is 1
Given Input Data is 63, 114, 545, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 545 is 5 x 109
Prime Factorization of 655 is 5 x 131
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(63, 114) = 2394
GCD(63, 114) = ( 63 x 114 ) / 2394
GCD(63, 114) = 7182 / 2394
GCD(63, 114) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 545) = 1635
GCD(3, 545) = ( 3 x 545 ) / 1635
GCD(3, 545) = 1635 / 1635
GCD(3, 545) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 63, 114, 545, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 114, 545, 655?
GCD of 63, 114, 545, 655 is 1
2. Where do I get the detailed procedure to find GCD of 63, 114, 545, 655?
You can find a detailed procedure to find GCD of 63, 114, 545, 655 on our page.
3. How to find GCD of 63, 114, 545, 655 on a calculator?
You can find the GCD of 63, 114, 545, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.