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 620, 132, 92, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 620, 132, 92, 289 is 1
GCD(620, 132, 92, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 620, 132, 92, 289 is 1
GCD(620, 132, 92, 289) = 1
Given Input numbers are 620, 132, 92, 289
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 620, 132, 92, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 132, 92, 289 is 1.
Therefore, GCD of numbers 620, 132, 92, 289 is 1
Given Input Data is 620, 132, 92, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 289 is 17 x 17
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(620, 132) = 20460
GCD(620, 132) = ( 620 x 132 ) / 20460
GCD(620, 132) = 81840 / 20460
GCD(620, 132) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 92) = 92
GCD(4, 92) = ( 4 x 92 ) / 92
GCD(4, 92) = 368 / 92
GCD(4, 92) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 289) = 1156
GCD(4, 289) = ( 4 x 289 ) / 1156
GCD(4, 289) = 1156 / 1156
GCD(4, 289) = 1
GCD of 620, 132, 92, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 620, 132, 92, 289?
GCD of 620, 132, 92, 289 is 1
2. Where do I get the detailed procedure to find GCD of 620, 132, 92, 289?
You can find a detailed procedure to find GCD of 620, 132, 92, 289 on our page.
3. How to find GCD of 620, 132, 92, 289 on a calculator?
You can find the GCD of 620, 132, 92, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.