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, 391, 23, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 391, 23, 359 is 1
GCD(977, 391, 23, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 391, 23, 359 is 1
GCD(977, 391, 23, 359) = 1
Given Input numbers are 977, 391, 23, 359
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 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 977, 391, 23, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 391, 23, 359 is 1.
Therefore, GCD of numbers 977, 391, 23, 359 is 1
Given Input Data is 977, 391, 23, 359
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 391 is 17 x 23
Prime Factorization of 23 is 23
Prime Factorization of 359 is 359
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, 391) = 382007
GCD(977, 391) = ( 977 x 391 ) / 382007
GCD(977, 391) = 382007 / 382007
GCD(977, 391) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
GCD of 977, 391, 23, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 391, 23, 359?
GCD of 977, 391, 23, 359 is 1
2. Where do I get the detailed procedure to find GCD of 977, 391, 23, 359?
You can find a detailed procedure to find GCD of 977, 391, 23, 359 on our page.
3. How to find GCD of 977, 391, 23, 359 on a calculator?
You can find the GCD of 977, 391, 23, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.