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 69, 336, 551, 584 i.e. 1 largest integer that divides all the numbers equally.
GCD of 69, 336, 551, 584 is 1
GCD(69, 336, 551, 584) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 69, 336, 551, 584 is 1
GCD(69, 336, 551, 584) = 1
Given Input numbers are 69, 336, 551, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
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 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 69, 336, 551, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 336, 551, 584 is 1.
Therefore, GCD of numbers 69, 336, 551, 584 is 1
Given Input Data is 69, 336, 551, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 69 is 3 x 23
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 551 is 19 x 29
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(69, 336) = 7728
GCD(69, 336) = ( 69 x 336 ) / 7728
GCD(69, 336) = 23184 / 7728
GCD(69, 336) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 551) = 1653
GCD(3, 551) = ( 3 x 551 ) / 1653
GCD(3, 551) = 1653 / 1653
GCD(3, 551) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
GCD of 69, 336, 551, 584 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 69, 336, 551, 584?
GCD of 69, 336, 551, 584 is 1
2. Where do I get the detailed procedure to find GCD of 69, 336, 551, 584?
You can find a detailed procedure to find GCD of 69, 336, 551, 584 on our page.
3. How to find GCD of 69, 336, 551, 584 on a calculator?
You can find the GCD of 69, 336, 551, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.