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, 133, 53, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 133, 53, 770 is 1
GCD(428, 133, 53, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 133, 53, 770 is 1
GCD(428, 133, 53, 770) = 1
Given Input numbers are 428, 133, 53, 770
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 428, 133, 53, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 133, 53, 770 is 1.
Therefore, GCD of numbers 428, 133, 53, 770 is 1
Given Input Data is 428, 133, 53, 770
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 133 is 7 x 19
Prime Factorization of 53 is 53
Prime Factorization of 770 is 2 x 5 x 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(428, 133) = 56924
GCD(428, 133) = ( 428 x 133 ) / 56924
GCD(428, 133) = 56924 / 56924
GCD(428, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 428, 133, 53, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 133, 53, 770?
GCD of 428, 133, 53, 770 is 1
2. Where do I get the detailed procedure to find GCD of 428, 133, 53, 770?
You can find a detailed procedure to find GCD of 428, 133, 53, 770 on our page.
3. How to find GCD of 428, 133, 53, 770 on a calculator?
You can find the GCD of 428, 133, 53, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.