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 820, 102, 734, 935 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 102, 734, 935 is 1
GCD(820, 102, 734, 935) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 102, 734, 935 is 1
GCD(820, 102, 734, 935) = 1
Given Input numbers are 820, 102, 734, 935
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Greatest Common Divisior
We found the divisors of 820, 102, 734, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 102, 734, 935 is 1.
Therefore, GCD of numbers 820, 102, 734, 935 is 1
Given Input Data is 820, 102, 734, 935
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 734 is 2 x 367
Prime Factorization of 935 is 5 x 11 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(820, 102) = 41820
GCD(820, 102) = ( 820 x 102 ) / 41820
GCD(820, 102) = 83640 / 41820
GCD(820, 102) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 734) = 734
GCD(2, 734) = ( 2 x 734 ) / 734
GCD(2, 734) = 1468 / 734
GCD(2, 734) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 935) = 1870
GCD(2, 935) = ( 2 x 935 ) / 1870
GCD(2, 935) = 1870 / 1870
GCD(2, 935) = 1
GCD of 820, 102, 734, 935 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 102, 734, 935?
GCD of 820, 102, 734, 935 is 1
2. Where do I get the detailed procedure to find GCD of 820, 102, 734, 935?
You can find a detailed procedure to find GCD of 820, 102, 734, 935 on our page.
3. How to find GCD of 820, 102, 734, 935 on a calculator?
You can find the GCD of 820, 102, 734, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.