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 676, 828, 133, 546 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 828, 133, 546 is 1
GCD(676, 828, 133, 546) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 828, 133, 546 is 1
GCD(676, 828, 133, 546) = 1
Given Input numbers are 676, 828, 133, 546
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
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
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Greatest Common Divisior
We found the divisors of 676, 828, 133, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 828, 133, 546 is 1.
Therefore, GCD of numbers 676, 828, 133, 546 is 1
Given Input Data is 676, 828, 133, 546
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 133 is 7 x 19
Prime Factorization of 546 is 2 x 3 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(676, 828) = 139932
GCD(676, 828) = ( 676 x 828 ) / 139932
GCD(676, 828) = 559728 / 139932
GCD(676, 828) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 133) = 532
GCD(4, 133) = ( 4 x 133 ) / 532
GCD(4, 133) = 532 / 532
GCD(4, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 546
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 546) = 546
GCD(1, 546) = ( 1 x 546 ) / 546
GCD(1, 546) = 546 / 546
GCD(1, 546) = 1
GCD of 676, 828, 133, 546 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 828, 133, 546?
GCD of 676, 828, 133, 546 is 1
2. Where do I get the detailed procedure to find GCD of 676, 828, 133, 546?
You can find a detailed procedure to find GCD of 676, 828, 133, 546 on our page.
3. How to find GCD of 676, 828, 133, 546 on a calculator?
You can find the GCD of 676, 828, 133, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.