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 136, 910, 470, 821 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 910, 470, 821 is 1
GCD(136, 910, 470, 821) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 910, 470, 821 is 1
GCD(136, 910, 470, 821) = 1
Given Input numbers are 136, 910, 470, 821
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
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 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Greatest Common Divisior
We found the divisors of 136, 910, 470, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 910, 470, 821 is 1.
Therefore, GCD of numbers 136, 910, 470, 821 is 1
Given Input Data is 136, 910, 470, 821
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 821 is 821
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(136, 910) = 61880
GCD(136, 910) = ( 136 x 910 ) / 61880
GCD(136, 910) = 123760 / 61880
GCD(136, 910) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 470) = 470
GCD(2, 470) = ( 2 x 470 ) / 470
GCD(2, 470) = 940 / 470
GCD(2, 470) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 821) = 1642
GCD(2, 821) = ( 2 x 821 ) / 1642
GCD(2, 821) = 1642 / 1642
GCD(2, 821) = 1
GCD of 136, 910, 470, 821 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 910, 470, 821?
GCD of 136, 910, 470, 821 is 1
2. Where do I get the detailed procedure to find GCD of 136, 910, 470, 821?
You can find a detailed procedure to find GCD of 136, 910, 470, 821 on our page.
3. How to find GCD of 136, 910, 470, 821 on a calculator?
You can find the GCD of 136, 910, 470, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.