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 57, 551, 519, 708 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 551, 519, 708 is 1
GCD(57, 551, 519, 708) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 551, 519, 708 is 1
GCD(57, 551, 519, 708) = 1
Given Input numbers are 57, 551, 519, 708
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Greatest Common Divisior
We found the divisors of 57, 551, 519, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 551, 519, 708 is 1.
Therefore, GCD of numbers 57, 551, 519, 708 is 1
Given Input Data is 57, 551, 519, 708
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 551 is 19 x 29
Prime Factorization of 519 is 3 x 173
Prime Factorization of 708 is 2 x 2 x 3 x 59
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(57, 551) = 1653
GCD(57, 551) = ( 57 x 551 ) / 1653
GCD(57, 551) = 31407 / 1653
GCD(57, 551) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 519
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 519) = 9861
GCD(19, 519) = ( 19 x 519 ) / 9861
GCD(19, 519) = 9861 / 9861
GCD(19, 519) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
GCD of 57, 551, 519, 708 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 551, 519, 708?
GCD of 57, 551, 519, 708 is 1
2. Where do I get the detailed procedure to find GCD of 57, 551, 519, 708?
You can find a detailed procedure to find GCD of 57, 551, 519, 708 on our page.
3. How to find GCD of 57, 551, 519, 708 on a calculator?
You can find the GCD of 57, 551, 519, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.