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 580, 915, 43, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 580, 915, 43, 962 is 1
GCD(580, 915, 43, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 915, 43, 962 is 1
GCD(580, 915, 43, 962) = 1
Given Input numbers are 580, 915, 43, 962
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 580, 915, 43, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 915, 43, 962 is 1.
Therefore, GCD of numbers 580, 915, 43, 962 is 1
Given Input Data is 580, 915, 43, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 43 is 43
Prime Factorization of 962 is 2 x 13 x 37
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(580, 915) = 106140
GCD(580, 915) = ( 580 x 915 ) / 106140
GCD(580, 915) = 530700 / 106140
GCD(580, 915) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 43) = 215
GCD(5, 43) = ( 5 x 43 ) / 215
GCD(5, 43) = 215 / 215
GCD(5, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 580, 915, 43, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 915, 43, 962?
GCD of 580, 915, 43, 962 is 1
2. Where do I get the detailed procedure to find GCD of 580, 915, 43, 962?
You can find a detailed procedure to find GCD of 580, 915, 43, 962 on our page.
3. How to find GCD of 580, 915, 43, 962 on a calculator?
You can find the GCD of 580, 915, 43, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.