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, 333, 281, 642 i.e. 1 largest integer that divides all the numbers equally.
GCD of 704, 333, 281, 642 is 1
GCD(704, 333, 281, 642) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 333, 281, 642 is 1
GCD(704, 333, 281, 642) = 1
Given Input numbers are 704, 333, 281, 642
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 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Greatest Common Divisior
We found the divisors of 704, 333, 281, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 333, 281, 642 is 1.
Therefore, GCD of numbers 704, 333, 281, 642 is 1
Given Input Data is 704, 333, 281, 642
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 333 is 3 x 3 x 37
Prime Factorization of 281 is 281
Prime Factorization of 642 is 2 x 3 x 107
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, 333) = 234432
GCD(704, 333) = ( 704 x 333 ) / 234432
GCD(704, 333) = 234432 / 234432
GCD(704, 333) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 281
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 281) = 281
GCD(1, 281) = ( 1 x 281 ) / 281
GCD(1, 281) = 281 / 281
GCD(1, 281) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
GCD of 704, 333, 281, 642 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 333, 281, 642?
GCD of 704, 333, 281, 642 is 1
2. Where do I get the detailed procedure to find GCD of 704, 333, 281, 642?
You can find a detailed procedure to find GCD of 704, 333, 281, 642 on our page.
3. How to find GCD of 704, 333, 281, 642 on a calculator?
You can find the GCD of 704, 333, 281, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.