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 249, 565, 771, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 565, 771, 320 is 1
GCD(249, 565, 771, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 565, 771, 320 is 1
GCD(249, 565, 771, 320) = 1
Given Input numbers are 249, 565, 771, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 249, 565, 771, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 565, 771, 320 is 1.
Therefore, GCD of numbers 249, 565, 771, 320 is 1
Given Input Data is 249, 565, 771, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 565 is 5 x 113
Prime Factorization of 771 is 3 x 257
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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(249, 565) = 140685
GCD(249, 565) = ( 249 x 565 ) / 140685
GCD(249, 565) = 140685 / 140685
GCD(249, 565) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 249, 565, 771, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 565, 771, 320?
GCD of 249, 565, 771, 320 is 1
2. Where do I get the detailed procedure to find GCD of 249, 565, 771, 320?
You can find a detailed procedure to find GCD of 249, 565, 771, 320 on our page.
3. How to find GCD of 249, 565, 771, 320 on a calculator?
You can find the GCD of 249, 565, 771, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.