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, 750, 246, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 750, 246, 827 is 1
GCD(40, 750, 246, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 750, 246, 827 is 1
GCD(40, 750, 246, 827) = 1
Given Input numbers are 40, 750, 246, 827
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 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 40, 750, 246, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 750, 246, 827 is 1.
Therefore, GCD of numbers 40, 750, 246, 827 is 1
Given Input Data is 40, 750, 246, 827
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 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 827 is 827
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, 750) = 3000
GCD(40, 750) = ( 40 x 750 ) / 3000
GCD(40, 750) = 30000 / 3000
GCD(40, 750) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 246
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 246) = 1230
GCD(10, 246) = ( 10 x 246 ) / 1230
GCD(10, 246) = 2460 / 1230
GCD(10, 246) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 827) = 1654
GCD(2, 827) = ( 2 x 827 ) / 1654
GCD(2, 827) = 1654 / 1654
GCD(2, 827) = 1
GCD of 40, 750, 246, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 750, 246, 827?
GCD of 40, 750, 246, 827 is 1
2. Where do I get the detailed procedure to find GCD of 40, 750, 246, 827?
You can find a detailed procedure to find GCD of 40, 750, 246, 827 on our page.
3. How to find GCD of 40, 750, 246, 827 on a calculator?
You can find the GCD of 40, 750, 246, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.