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 735, 622, 993, 910 i.e. 1 largest integer that divides all the numbers equally.
GCD of 735, 622, 993, 910 is 1
GCD(735, 622, 993, 910) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 622, 993, 910 is 1
GCD(735, 622, 993, 910) = 1
Given Input numbers are 735, 622, 993, 910
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Greatest Common Divisior
We found the divisors of 735, 622, 993, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 622, 993, 910 is 1.
Therefore, GCD of numbers 735, 622, 993, 910 is 1
Given Input Data is 735, 622, 993, 910
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 622 is 2 x 311
Prime Factorization of 993 is 3 x 331
Prime Factorization of 910 is 2 x 5 x 7 x 13
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(735, 622) = 457170
GCD(735, 622) = ( 735 x 622 ) / 457170
GCD(735, 622) = 457170 / 457170
GCD(735, 622) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 910) = 910
GCD(1, 910) = ( 1 x 910 ) / 910
GCD(1, 910) = 910 / 910
GCD(1, 910) = 1
GCD of 735, 622, 993, 910 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 735, 622, 993, 910?
GCD of 735, 622, 993, 910 is 1
2. Where do I get the detailed procedure to find GCD of 735, 622, 993, 910?
You can find a detailed procedure to find GCD of 735, 622, 993, 910 on our page.
3. How to find GCD of 735, 622, 993, 910 on a calculator?
You can find the GCD of 735, 622, 993, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.