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 680, 282, 136, 733 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 282, 136, 733 is 1
GCD(680, 282, 136, 733) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 282, 136, 733 is 1
GCD(680, 282, 136, 733) = 1
Given Input numbers are 680, 282, 136, 733
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Greatest Common Divisior
We found the divisors of 680, 282, 136, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 282, 136, 733 is 1.
Therefore, GCD of numbers 680, 282, 136, 733 is 1
Given Input Data is 680, 282, 136, 733
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 733 is 733
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(680, 282) = 95880
GCD(680, 282) = ( 680 x 282 ) / 95880
GCD(680, 282) = 191760 / 95880
GCD(680, 282) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
GCD(2, 136) = 272 / 136
GCD(2, 136) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 733) = 1466
GCD(2, 733) = ( 2 x 733 ) / 1466
GCD(2, 733) = 1466 / 1466
GCD(2, 733) = 1
GCD of 680, 282, 136, 733 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 282, 136, 733?
GCD of 680, 282, 136, 733 is 1
2. Where do I get the detailed procedure to find GCD of 680, 282, 136, 733?
You can find a detailed procedure to find GCD of 680, 282, 136, 733 on our page.
3. How to find GCD of 680, 282, 136, 733 on a calculator?
You can find the GCD of 680, 282, 136, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.