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 704, 313, 651, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 704, 313, 651, 355 is 1
GCD(704, 313, 651, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 313, 651, 355 is 1
GCD(704, 313, 651, 355) = 1
Given Input numbers are 704, 313, 651, 355
To find the GCD of numbers using factoring list out all the divisors of each number
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 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 704, 313, 651, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 313, 651, 355 is 1.
Therefore, GCD of numbers 704, 313, 651, 355 is 1
Given Input Data is 704, 313, 651, 355
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 313 is 313
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 355 is 5 x 71
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(704, 313) = 220352
GCD(704, 313) = ( 704 x 313 ) / 220352
GCD(704, 313) = 220352 / 220352
GCD(704, 313) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 651) = 651
GCD(1, 651) = ( 1 x 651 ) / 651
GCD(1, 651) = 651 / 651
GCD(1, 651) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
GCD(1, 355) = 355 / 355
GCD(1, 355) = 1
GCD of 704, 313, 651, 355 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 313, 651, 355?
GCD of 704, 313, 651, 355 is 1
2. Where do I get the detailed procedure to find GCD of 704, 313, 651, 355?
You can find a detailed procedure to find GCD of 704, 313, 651, 355 on our page.
3. How to find GCD of 704, 313, 651, 355 on a calculator?
You can find the GCD of 704, 313, 651, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.