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 344, 761, 973, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 761, 973, 677 is 1
GCD(344, 761, 973, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 761, 973, 677 is 1
GCD(344, 761, 973, 677) = 1
Given Input numbers are 344, 761, 973, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 344, 761, 973, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 761, 973, 677 is 1.
Therefore, GCD of numbers 344, 761, 973, 677 is 1
Given Input Data is 344, 761, 973, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 761 is 761
Prime Factorization of 973 is 7 x 139
Prime Factorization of 677 is 677
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(344, 761) = 261784
GCD(344, 761) = ( 344 x 761 ) / 261784
GCD(344, 761) = 261784 / 261784
GCD(344, 761) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
GCD(1, 973) = 973 / 973
GCD(1, 973) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 344, 761, 973, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 761, 973, 677?
GCD of 344, 761, 973, 677 is 1
2. Where do I get the detailed procedure to find GCD of 344, 761, 973, 677?
You can find a detailed procedure to find GCD of 344, 761, 973, 677 on our page.
3. How to find GCD of 344, 761, 973, 677 on a calculator?
You can find the GCD of 344, 761, 973, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.