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 958, 677, 649, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 958, 677, 649, 296 is 1
GCD(958, 677, 649, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 958, 677, 649, 296 is 1
GCD(958, 677, 649, 296) = 1
Given Input numbers are 958, 677, 649, 296
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 958, 677, 649, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 677, 649, 296 is 1.
Therefore, GCD of numbers 958, 677, 649, 296 is 1
Given Input Data is 958, 677, 649, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 958 is 2 x 479
Prime Factorization of 677 is 677
Prime Factorization of 649 is 11 x 59
Prime Factorization of 296 is 2 x 2 x 2 x 37
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(958, 677) = 648566
GCD(958, 677) = ( 958 x 677 ) / 648566
GCD(958, 677) = 648566 / 648566
GCD(958, 677) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 958, 677, 649, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 958, 677, 649, 296?
GCD of 958, 677, 649, 296 is 1
2. Where do I get the detailed procedure to find GCD of 958, 677, 649, 296?
You can find a detailed procedure to find GCD of 958, 677, 649, 296 on our page.
3. How to find GCD of 958, 677, 649, 296 on a calculator?
You can find the GCD of 958, 677, 649, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.