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 133, 357, 468, 769 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 357, 468, 769 is 1
GCD(133, 357, 468, 769) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 357, 468, 769 is 1
GCD(133, 357, 468, 769) = 1
Given Input numbers are 133, 357, 468, 769
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Greatest Common Divisior
We found the divisors of 133, 357, 468, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 357, 468, 769 is 1.
Therefore, GCD of numbers 133, 357, 468, 769 is 1
Given Input Data is 133, 357, 468, 769
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 769 is 769
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(133, 357) = 6783
GCD(133, 357) = ( 133 x 357 ) / 6783
GCD(133, 357) = 47481 / 6783
GCD(133, 357) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 468) = 3276
GCD(7, 468) = ( 7 x 468 ) / 3276
GCD(7, 468) = 3276 / 3276
GCD(7, 468) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
GCD(1, 769) = 769 / 769
GCD(1, 769) = 1
GCD of 133, 357, 468, 769 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 357, 468, 769?
GCD of 133, 357, 468, 769 is 1
2. Where do I get the detailed procedure to find GCD of 133, 357, 468, 769?
You can find a detailed procedure to find GCD of 133, 357, 468, 769 on our page.
3. How to find GCD of 133, 357, 468, 769 on a calculator?
You can find the GCD of 133, 357, 468, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.