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 285, 688, 136, 456 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 688, 136, 456 is 1
GCD(285, 688, 136, 456) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 688, 136, 456 is 1
GCD(285, 688, 136, 456) = 1
Given Input numbers are 285, 688, 136, 456
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
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 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Greatest Common Divisior
We found the divisors of 285, 688, 136, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 688, 136, 456 is 1.
Therefore, GCD of numbers 285, 688, 136, 456 is 1
Given Input Data is 285, 688, 136, 456
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 456 is 2 x 2 x 2 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(285, 688) = 196080
GCD(285, 688) = ( 285 x 688 ) / 196080
GCD(285, 688) = 196080 / 196080
GCD(285, 688) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
GCD(1, 456) = 456 / 456
GCD(1, 456) = 1
GCD of 285, 688, 136, 456 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 285, 688, 136, 456?
GCD of 285, 688, 136, 456 is 1
2. Where do I get the detailed procedure to find GCD of 285, 688, 136, 456?
You can find a detailed procedure to find GCD of 285, 688, 136, 456 on our page.
3. How to find GCD of 285, 688, 136, 456 on a calculator?
You can find the GCD of 285, 688, 136, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.