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 977, 836, 680, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 836, 680, 399 is 1
GCD(977, 836, 680, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 836, 680, 399 is 1
GCD(977, 836, 680, 399) = 1
Given Input numbers are 977, 836, 680, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 977, 836, 680, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 836, 680, 399 is 1.
Therefore, GCD of numbers 977, 836, 680, 399 is 1
Given Input Data is 977, 836, 680, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 399 is 3 x 7 x 19
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(977, 836) = 816772
GCD(977, 836) = ( 977 x 836 ) / 816772
GCD(977, 836) = 816772 / 816772
GCD(977, 836) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 977, 836, 680, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 836, 680, 399?
GCD of 977, 836, 680, 399 is 1
2. Where do I get the detailed procedure to find GCD of 977, 836, 680, 399?
You can find a detailed procedure to find GCD of 977, 836, 680, 399 on our page.
3. How to find GCD of 977, 836, 680, 399 on a calculator?
You can find the GCD of 977, 836, 680, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.