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 311, 587, 77, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 311, 587, 77, 758 is 1
GCD(311, 587, 77, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 311, 587, 77, 758 is 1
GCD(311, 587, 77, 758) = 1
Given Input numbers are 311, 587, 77, 758
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 311, 587, 77, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 587, 77, 758 is 1.
Therefore, GCD of numbers 311, 587, 77, 758 is 1
Given Input Data is 311, 587, 77, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 311 is 311
Prime Factorization of 587 is 587
Prime Factorization of 77 is 7 x 11
Prime Factorization of 758 is 2 x 379
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(311, 587) = 182557
GCD(311, 587) = ( 311 x 587 ) / 182557
GCD(311, 587) = 182557 / 182557
GCD(311, 587) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
GCD of 311, 587, 77, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 311, 587, 77, 758?
GCD of 311, 587, 77, 758 is 1
2. Where do I get the detailed procedure to find GCD of 311, 587, 77, 758?
You can find a detailed procedure to find GCD of 311, 587, 77, 758 on our page.
3. How to find GCD of 311, 587, 77, 758 on a calculator?
You can find the GCD of 311, 587, 77, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.