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 428, 811, 130, 869 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 811, 130, 869 is 1
GCD(428, 811, 130, 869) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 811, 130, 869 is 1
GCD(428, 811, 130, 869) = 1
Given Input numbers are 428, 811, 130, 869
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Greatest Common Divisior
We found the divisors of 428, 811, 130, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 811, 130, 869 is 1.
Therefore, GCD of numbers 428, 811, 130, 869 is 1
Given Input Data is 428, 811, 130, 869
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 811 is 811
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 869 is 11 x 79
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(428, 811) = 347108
GCD(428, 811) = ( 428 x 811 ) / 347108
GCD(428, 811) = 347108 / 347108
GCD(428, 811) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 869
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 869) = 869
GCD(1, 869) = ( 1 x 869 ) / 869
GCD(1, 869) = 869 / 869
GCD(1, 869) = 1
GCD of 428, 811, 130, 869 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 811, 130, 869?
GCD of 428, 811, 130, 869 is 1
2. Where do I get the detailed procedure to find GCD of 428, 811, 130, 869?
You can find a detailed procedure to find GCD of 428, 811, 130, 869 on our page.
3. How to find GCD of 428, 811, 130, 869 on a calculator?
You can find the GCD of 428, 811, 130, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.