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 910, 626, 83, 828 i.e. 1 largest integer that divides all the numbers equally.
GCD of 910, 626, 83, 828 is 1
GCD(910, 626, 83, 828) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 910, 626, 83, 828 is 1
GCD(910, 626, 83, 828) = 1
Given Input numbers are 910, 626, 83, 828
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Greatest Common Divisior
We found the divisors of 910, 626, 83, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 626, 83, 828 is 1.
Therefore, GCD of numbers 910, 626, 83, 828 is 1
Given Input Data is 910, 626, 83, 828
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 626 is 2 x 313
Prime Factorization of 83 is 83
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
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(910, 626) = 284830
GCD(910, 626) = ( 910 x 626 ) / 284830
GCD(910, 626) = 569660 / 284830
GCD(910, 626) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
GCD of 910, 626, 83, 828 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 910, 626, 83, 828?
GCD of 910, 626, 83, 828 is 1
2. Where do I get the detailed procedure to find GCD of 910, 626, 83, 828?
You can find a detailed procedure to find GCD of 910, 626, 83, 828 on our page.
3. How to find GCD of 910, 626, 83, 828 on a calculator?
You can find the GCD of 910, 626, 83, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.