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 969, 983, 277, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 983, 277, 304 is 1
GCD(969, 983, 277, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 983, 277, 304 is 1
GCD(969, 983, 277, 304) = 1
Given Input numbers are 969, 983, 277, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 969, 983, 277, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 983, 277, 304 is 1.
Therefore, GCD of numbers 969, 983, 277, 304 is 1
Given Input Data is 969, 983, 277, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 983 is 983
Prime Factorization of 277 is 277
Prime Factorization of 304 is 2 x 2 x 2 x 2 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(969, 983) = 952527
GCD(969, 983) = ( 969 x 983 ) / 952527
GCD(969, 983) = 952527 / 952527
GCD(969, 983) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 277) = 277
GCD(1, 277) = ( 1 x 277 ) / 277
GCD(1, 277) = 277 / 277
GCD(1, 277) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 969, 983, 277, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 983, 277, 304?
GCD of 969, 983, 277, 304 is 1
2. Where do I get the detailed procedure to find GCD of 969, 983, 277, 304?
You can find a detailed procedure to find GCD of 969, 983, 277, 304 on our page.
3. How to find GCD of 969, 983, 277, 304 on a calculator?
You can find the GCD of 969, 983, 277, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.