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 180, 562, 292, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 180, 562, 292, 545 is 1
GCD(180, 562, 292, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 562, 292, 545 is 1
GCD(180, 562, 292, 545) = 1
Given Input numbers are 180, 562, 292, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
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 180, 562, 292, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 562, 292, 545 is 1.
Therefore, GCD of numbers 180, 562, 292, 545 is 1
Given Input Data is 180, 562, 292, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 562 is 2 x 281
Prime Factorization of 292 is 2 x 2 x 73
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(180, 562) = 50580
GCD(180, 562) = ( 180 x 562 ) / 50580
GCD(180, 562) = 101160 / 50580
GCD(180, 562) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 292) = 292
GCD(2, 292) = ( 2 x 292 ) / 292
GCD(2, 292) = 584 / 292
GCD(2, 292) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 545) = 1090
GCD(2, 545) = ( 2 x 545 ) / 1090
GCD(2, 545) = 1090 / 1090
GCD(2, 545) = 1
GCD of 180, 562, 292, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 562, 292, 545?
GCD of 180, 562, 292, 545 is 1
2. Where do I get the detailed procedure to find GCD of 180, 562, 292, 545?
You can find a detailed procedure to find GCD of 180, 562, 292, 545 on our page.
3. How to find GCD of 180, 562, 292, 545 on a calculator?
You can find the GCD of 180, 562, 292, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.