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 262, 324, 72, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 324, 72, 969 is 1
GCD(262, 324, 72, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 324, 72, 969 is 1
GCD(262, 324, 72, 969) = 1
Given Input numbers are 262, 324, 72, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 262, 324, 72, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 324, 72, 969 is 1.
Therefore, GCD of numbers 262, 324, 72, 969 is 1
Given Input Data is 262, 324, 72, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 969 is 3 x 17 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(262, 324) = 42444
GCD(262, 324) = ( 262 x 324 ) / 42444
GCD(262, 324) = 84888 / 42444
GCD(262, 324) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 969) = 1938
GCD(2, 969) = ( 2 x 969 ) / 1938
GCD(2, 969) = 1938 / 1938
GCD(2, 969) = 1
GCD of 262, 324, 72, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 324, 72, 969?
GCD of 262, 324, 72, 969 is 1
2. Where do I get the detailed procedure to find GCD of 262, 324, 72, 969?
You can find a detailed procedure to find GCD of 262, 324, 72, 969 on our page.
3. How to find GCD of 262, 324, 72, 969 on a calculator?
You can find the GCD of 262, 324, 72, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.