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, 423, 521, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 423, 521, 307 is 1
GCD(85, 423, 521, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 423, 521, 307 is 1
GCD(85, 423, 521, 307) = 1
Given Input numbers are 85, 423, 521, 307
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 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 85, 423, 521, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 423, 521, 307 is 1.
Therefore, GCD of numbers 85, 423, 521, 307 is 1
Given Input Data is 85, 423, 521, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 521 is 521
Prime Factorization of 307 is 307
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, 423) = 35955
GCD(85, 423) = ( 85 x 423 ) / 35955
GCD(85, 423) = 35955 / 35955
GCD(85, 423) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
GCD(1, 521) = 521 / 521
GCD(1, 521) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
GCD of 85, 423, 521, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 423, 521, 307?
GCD of 85, 423, 521, 307 is 1
2. Where do I get the detailed procedure to find GCD of 85, 423, 521, 307?
You can find a detailed procedure to find GCD of 85, 423, 521, 307 on our page.
3. How to find GCD of 85, 423, 521, 307 on a calculator?
You can find the GCD of 85, 423, 521, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.