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 435, 380, 77, 889 i.e. 1 largest integer that divides all the numbers equally.
GCD of 435, 380, 77, 889 is 1
GCD(435, 380, 77, 889) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 435, 380, 77, 889 is 1
GCD(435, 380, 77, 889) = 1
Given Input numbers are 435, 380, 77, 889
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Greatest Common Divisior
We found the divisors of 435, 380, 77, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 380, 77, 889 is 1.
Therefore, GCD of numbers 435, 380, 77, 889 is 1
Given Input Data is 435, 380, 77, 889
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 77 is 7 x 11
Prime Factorization of 889 is 7 x 127
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(435, 380) = 33060
GCD(435, 380) = ( 435 x 380 ) / 33060
GCD(435, 380) = 165300 / 33060
GCD(435, 380) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 77) = 385
GCD(5, 77) = ( 5 x 77 ) / 385
GCD(5, 77) = 385 / 385
GCD(5, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 889) = 889
GCD(1, 889) = ( 1 x 889 ) / 889
GCD(1, 889) = 889 / 889
GCD(1, 889) = 1
GCD of 435, 380, 77, 889 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 435, 380, 77, 889?
GCD of 435, 380, 77, 889 is 1
2. Where do I get the detailed procedure to find GCD of 435, 380, 77, 889?
You can find a detailed procedure to find GCD of 435, 380, 77, 889 on our page.
3. How to find GCD of 435, 380, 77, 889 on a calculator?
You can find the GCD of 435, 380, 77, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.