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 130, 624, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 624, 545 is 1
GCD(130, 624, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 624, 545 is 1
GCD(130, 624, 545) = 1
Given Input numbers are 130, 624, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 130, 624, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 624, 545 is 1.
Therefore, GCD of numbers 130, 624, 545 is 1
Given Input Data is 130, 624, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 545 is 5 x 109
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(130, 624) = 3120
GCD(130, 624) = ( 130 x 624 ) / 3120
GCD(130, 624) = 81120 / 3120
GCD(130, 624) = 26
Step2:
Here we consider the GCD from the above i.e. 26 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 545) = 14170
GCD(26, 545) = ( 26 x 545 ) / 14170
GCD(26, 545) = 14170 / 14170
GCD(26, 545) = 1
GCD of 130, 624, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 624, 545?
GCD of 130, 624, 545 is 1
2. Where do I get the detailed procedure to find GCD of 130, 624, 545?
You can find a detailed procedure to find GCD of 130, 624, 545 on our page.
3. How to find GCD of 130, 624, 545 on a calculator?
You can find the GCD of 130, 624, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.