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 688, 704, 84, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 704, 84, 513 is 1
GCD(688, 704, 84, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 704, 84, 513 is 1
GCD(688, 704, 84, 513) = 1
Given Input numbers are 688, 704, 84, 513
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 688, 704, 84, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 704, 84, 513 is 1.
Therefore, GCD of numbers 688, 704, 84, 513 is 1
Given Input Data is 688, 704, 84, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 513 is 3 x 3 x 3 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(688, 704) = 30272
GCD(688, 704) = ( 688 x 704 ) / 30272
GCD(688, 704) = 484352 / 30272
GCD(688, 704) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 84) = 336
GCD(16, 84) = ( 16 x 84 ) / 336
GCD(16, 84) = 1344 / 336
GCD(16, 84) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 513) = 2052
GCD(4, 513) = ( 4 x 513 ) / 2052
GCD(4, 513) = 2052 / 2052
GCD(4, 513) = 1
GCD of 688, 704, 84, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 704, 84, 513?
GCD of 688, 704, 84, 513 is 1
2. Where do I get the detailed procedure to find GCD of 688, 704, 84, 513?
You can find a detailed procedure to find GCD of 688, 704, 84, 513 on our page.
3. How to find GCD of 688, 704, 84, 513 on a calculator?
You can find the GCD of 688, 704, 84, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.