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 113, 705, 61, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 113, 705, 61, 284 is 1
GCD(113, 705, 61, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 113, 705, 61, 284 is 1
GCD(113, 705, 61, 284) = 1
Given Input numbers are 113, 705, 61, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 113, 705, 61, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 705, 61, 284 is 1.
Therefore, GCD of numbers 113, 705, 61, 284 is 1
Given Input Data is 113, 705, 61, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 113 is 113
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 61 is 61
Prime Factorization of 284 is 2 x 2 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(113, 705) = 79665
GCD(113, 705) = ( 113 x 705 ) / 79665
GCD(113, 705) = 79665 / 79665
GCD(113, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
GCD of 113, 705, 61, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 113, 705, 61, 284?
GCD of 113, 705, 61, 284 is 1
2. Where do I get the detailed procedure to find GCD of 113, 705, 61, 284?
You can find a detailed procedure to find GCD of 113, 705, 61, 284 on our page.
3. How to find GCD of 113, 705, 61, 284 on a calculator?
You can find the GCD of 113, 705, 61, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.