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 877, 314, 67, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 877, 314, 67, 301 is 1
GCD(877, 314, 67, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 877, 314, 67, 301 is 1
GCD(877, 314, 67, 301) = 1
Given Input numbers are 877, 314, 67, 301
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 877, 314, 67, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 877, 314, 67, 301 is 1.
Therefore, GCD of numbers 877, 314, 67, 301 is 1
Given Input Data is 877, 314, 67, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 877 is 877
Prime Factorization of 314 is 2 x 157
Prime Factorization of 67 is 67
Prime Factorization of 301 is 7 x 43
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(877, 314) = 275378
GCD(877, 314) = ( 877 x 314 ) / 275378
GCD(877, 314) = 275378 / 275378
GCD(877, 314) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 877, 314, 67, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 877, 314, 67, 301?
GCD of 877, 314, 67, 301 is 1
2. Where do I get the detailed procedure to find GCD of 877, 314, 67, 301?
You can find a detailed procedure to find GCD of 877, 314, 67, 301 on our page.
3. How to find GCD of 877, 314, 67, 301 on a calculator?
You can find the GCD of 877, 314, 67, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.