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 85, 771, 893, 429 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 771, 893, 429 is 1
GCD(85, 771, 893, 429) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 771, 893, 429 is 1
GCD(85, 771, 893, 429) = 1
Given Input numbers are 85, 771, 893, 429
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Greatest Common Divisior
We found the divisors of 85, 771, 893, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 771, 893, 429 is 1.
Therefore, GCD of numbers 85, 771, 893, 429 is 1
Given Input Data is 85, 771, 893, 429
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 771 is 3 x 257
Prime Factorization of 893 is 19 x 47
Prime Factorization of 429 is 3 x 11 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(85, 771) = 65535
GCD(85, 771) = ( 85 x 771 ) / 65535
GCD(85, 771) = 65535 / 65535
GCD(85, 771) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 893
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 893) = 893
GCD(1, 893) = ( 1 x 893 ) / 893
GCD(1, 893) = 893 / 893
GCD(1, 893) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
GCD(1, 429) = 429 / 429
GCD(1, 429) = 1
GCD of 85, 771, 893, 429 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 771, 893, 429?
GCD of 85, 771, 893, 429 is 1
2. Where do I get the detailed procedure to find GCD of 85, 771, 893, 429?
You can find a detailed procedure to find GCD of 85, 771, 893, 429 on our page.
3. How to find GCD of 85, 771, 893, 429 on a calculator?
You can find the GCD of 85, 771, 893, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.