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 40, 792, 847, 580 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 792, 847, 580 is 1
GCD(40, 792, 847, 580) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 792, 847, 580 is 1
GCD(40, 792, 847, 580) = 1
Given Input numbers are 40, 792, 847, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
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
Greatest Common Divisior
We found the divisors of 40, 792, 847, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 792, 847, 580 is 1.
Therefore, GCD of numbers 40, 792, 847, 580 is 1
Given Input Data is 40, 792, 847, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 580 is 2 x 2 x 5 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(40, 792) = 3960
GCD(40, 792) = ( 40 x 792 ) / 3960
GCD(40, 792) = 31680 / 3960
GCD(40, 792) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 847) = 6776
GCD(8, 847) = ( 8 x 847 ) / 6776
GCD(8, 847) = 6776 / 6776
GCD(8, 847) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
GCD(1, 580) = 580 / 580
GCD(1, 580) = 1
GCD of 40, 792, 847, 580 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 792, 847, 580?
GCD of 40, 792, 847, 580 is 1
2. Where do I get the detailed procedure to find GCD of 40, 792, 847, 580?
You can find a detailed procedure to find GCD of 40, 792, 847, 580 on our page.
3. How to find GCD of 40, 792, 847, 580 on a calculator?
You can find the GCD of 40, 792, 847, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.