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 66, 562, 145, 609 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 562, 145, 609 is 1
GCD(66, 562, 145, 609) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 562, 145, 609 is 1
GCD(66, 562, 145, 609) = 1
Given Input numbers are 66, 562, 145, 609
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Greatest Common Divisior
We found the divisors of 66, 562, 145, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 562, 145, 609 is 1.
Therefore, GCD of numbers 66, 562, 145, 609 is 1
Given Input Data is 66, 562, 145, 609
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 562 is 2 x 281
Prime Factorization of 145 is 5 x 29
Prime Factorization of 609 is 3 x 7 x 29
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(66, 562) = 18546
GCD(66, 562) = ( 66 x 562 ) / 18546
GCD(66, 562) = 37092 / 18546
GCD(66, 562) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 145) = 290
GCD(2, 145) = ( 2 x 145 ) / 290
GCD(2, 145) = 290 / 290
GCD(2, 145) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
GCD(1, 609) = 609 / 609
GCD(1, 609) = 1
GCD of 66, 562, 145, 609 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 562, 145, 609?
GCD of 66, 562, 145, 609 is 1
2. Where do I get the detailed procedure to find GCD of 66, 562, 145, 609?
You can find a detailed procedure to find GCD of 66, 562, 145, 609 on our page.
3. How to find GCD of 66, 562, 145, 609 on a calculator?
You can find the GCD of 66, 562, 145, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.