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 677, 302, 85, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 302, 85, 299 is 1
GCD(677, 302, 85, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 302, 85, 299 is 1
GCD(677, 302, 85, 299) = 1
Given Input numbers are 677, 302, 85, 299
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 677, 302, 85, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 302, 85, 299 is 1.
Therefore, GCD of numbers 677, 302, 85, 299 is 1
Given Input Data is 677, 302, 85, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 302 is 2 x 151
Prime Factorization of 85 is 5 x 17
Prime Factorization of 299 is 13 x 23
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(677, 302) = 204454
GCD(677, 302) = ( 677 x 302 ) / 204454
GCD(677, 302) = 204454 / 204454
GCD(677, 302) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
GCD of 677, 302, 85, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 302, 85, 299?
GCD of 677, 302, 85, 299 is 1
2. Where do I get the detailed procedure to find GCD of 677, 302, 85, 299?
You can find a detailed procedure to find GCD of 677, 302, 85, 299 on our page.
3. How to find GCD of 677, 302, 85, 299 on a calculator?
You can find the GCD of 677, 302, 85, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.