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 779, 336, 520, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 779, 336, 520, 144 is 1
GCD(779, 336, 520, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 779, 336, 520, 144 is 1
GCD(779, 336, 520, 144) = 1
Given Input numbers are 779, 336, 520, 144
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 779, 336, 520, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 336, 520, 144 is 1.
Therefore, GCD of numbers 779, 336, 520, 144 is 1
Given Input Data is 779, 336, 520, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 779 is 19 x 41
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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(779, 336) = 261744
GCD(779, 336) = ( 779 x 336 ) / 261744
GCD(779, 336) = 261744 / 261744
GCD(779, 336) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 779, 336, 520, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 779, 336, 520, 144?
GCD of 779, 336, 520, 144 is 1
2. Where do I get the detailed procedure to find GCD of 779, 336, 520, 144?
You can find a detailed procedure to find GCD of 779, 336, 520, 144 on our page.
3. How to find GCD of 779, 336, 520, 144 on a calculator?
You can find the GCD of 779, 336, 520, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.