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, 134, 63, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 134, 63, 826 is 1
GCD(428, 134, 63, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 134, 63, 826 is 1
GCD(428, 134, 63, 826) = 1
Given Input numbers are 428, 134, 63, 826
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 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 428, 134, 63, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 134, 63, 826 is 1.
Therefore, GCD of numbers 428, 134, 63, 826 is 1
Given Input Data is 428, 134, 63, 826
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 134 is 2 x 67
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 826 is 2 x 7 x 59
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, 134) = 28676
GCD(428, 134) = ( 428 x 134 ) / 28676
GCD(428, 134) = 57352 / 28676
GCD(428, 134) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 63) = 126
GCD(2, 63) = ( 2 x 63 ) / 126
GCD(2, 63) = 126 / 126
GCD(2, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
GCD of 428, 134, 63, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 134, 63, 826?
GCD of 428, 134, 63, 826 is 1
2. Where do I get the detailed procedure to find GCD of 428, 134, 63, 826?
You can find a detailed procedure to find GCD of 428, 134, 63, 826 on our page.
3. How to find GCD of 428, 134, 63, 826 on a calculator?
You can find the GCD of 428, 134, 63, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.