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 982, 760, 26, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 760, 26, 677 is 1
GCD(982, 760, 26, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 760, 26, 677 is 1
GCD(982, 760, 26, 677) = 1
Given Input numbers are 982, 760, 26, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
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 982, 760, 26, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 760, 26, 677 is 1.
Therefore, GCD of numbers 982, 760, 26, 677 is 1
Given Input Data is 982, 760, 26, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 26 is 2 x 13
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(982, 760) = 373160
GCD(982, 760) = ( 982 x 760 ) / 373160
GCD(982, 760) = 746320 / 373160
GCD(982, 760) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 677) = 1354
GCD(2, 677) = ( 2 x 677 ) / 1354
GCD(2, 677) = 1354 / 1354
GCD(2, 677) = 1
GCD of 982, 760, 26, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 760, 26, 677?
GCD of 982, 760, 26, 677 is 1
2. Where do I get the detailed procedure to find GCD of 982, 760, 26, 677?
You can find a detailed procedure to find GCD of 982, 760, 26, 677 on our page.
3. How to find GCD of 982, 760, 26, 677 on a calculator?
You can find the GCD of 982, 760, 26, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.