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 705, 283, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 283, 964 is 1
GCD(705, 283, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 283, 964 is 1
GCD(705, 283, 964) = 1
Given Input numbers are 705, 283, 964
To find the GCD of numbers using factoring list out all the divisors of each number
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 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 705, 283, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 283, 964 is 1.
Therefore, GCD of numbers 705, 283, 964 is 1
Given Input Data is 705, 283, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 283 is 283
Prime Factorization of 964 is 2 x 2 x 241
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(705, 283) = 199515
GCD(705, 283) = ( 705 x 283 ) / 199515
GCD(705, 283) = 199515 / 199515
GCD(705, 283) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 705, 283, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 283, 964?
GCD of 705, 283, 964 is 1
2. Where do I get the detailed procedure to find GCD of 705, 283, 964?
You can find a detailed procedure to find GCD of 705, 283, 964 on our page.
3. How to find GCD of 705, 283, 964 on a calculator?
You can find the GCD of 705, 283, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.