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 129, 533, 77 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 533, 77 is 1
GCD(129, 533, 77) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 533, 77 is 1
GCD(129, 533, 77) = 1
Given Input numbers are 129, 533, 77
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Greatest Common Divisior
We found the divisors of 129, 533, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 533, 77 is 1.
Therefore, GCD of numbers 129, 533, 77 is 1
Given Input Data is 129, 533, 77
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 533 is 13 x 41
Prime Factorization of 77 is 7 x 11
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(129, 533) = 68757
GCD(129, 533) = ( 129 x 533 ) / 68757
GCD(129, 533) = 68757 / 68757
GCD(129, 533) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
GCD of 129, 533, 77 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 533, 77?
GCD of 129, 533, 77 is 1
2. Where do I get the detailed procedure to find GCD of 129, 533, 77?
You can find a detailed procedure to find GCD of 129, 533, 77 on our page.
3. How to find GCD of 129, 533, 77 on a calculator?
You can find the GCD of 129, 533, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.