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, 576, 65, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 576, 65, 457 is 1
GCD(969, 576, 65, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 576, 65, 457 is 1
GCD(969, 576, 65, 457) = 1
Given Input numbers are 969, 576, 65, 457
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 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 969, 576, 65, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 576, 65, 457 is 1.
Therefore, GCD of numbers 969, 576, 65, 457 is 1
Given Input Data is 969, 576, 65, 457
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 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 65 is 5 x 13
Prime Factorization of 457 is 457
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, 576) = 186048
GCD(969, 576) = ( 969 x 576 ) / 186048
GCD(969, 576) = 558144 / 186048
GCD(969, 576) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 65) = 195
GCD(3, 65) = ( 3 x 65 ) / 195
GCD(3, 65) = 195 / 195
GCD(3, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
GCD of 969, 576, 65, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 576, 65, 457?
GCD of 969, 576, 65, 457 is 1
2. Where do I get the detailed procedure to find GCD of 969, 576, 65, 457?
You can find a detailed procedure to find GCD of 969, 576, 65, 457 on our page.
3. How to find GCD of 969, 576, 65, 457 on a calculator?
You can find the GCD of 969, 576, 65, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.