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 77, 601, 361, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 601, 361, 983 is 1
GCD(77, 601, 361, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 601, 361, 983 is 1
GCD(77, 601, 361, 983) = 1
Given Input numbers are 77, 601, 361, 983
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Greatest Common Divisior
We found the divisors of 77, 601, 361, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 601, 361, 983 is 1.
Therefore, GCD of numbers 77, 601, 361, 983 is 1
Given Input Data is 77, 601, 361, 983
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 601 is 601
Prime Factorization of 361 is 19 x 19
Prime Factorization of 983 is 983
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(77, 601) = 46277
GCD(77, 601) = ( 77 x 601 ) / 46277
GCD(77, 601) = 46277 / 46277
GCD(77, 601) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
GCD of 77, 601, 361, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 601, 361, 983?
GCD of 77, 601, 361, 983 is 1
2. Where do I get the detailed procedure to find GCD of 77, 601, 361, 983?
You can find a detailed procedure to find GCD of 77, 601, 361, 983 on our page.
3. How to find GCD of 77, 601, 361, 983 on a calculator?
You can find the GCD of 77, 601, 361, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.