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 706, 952, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 706, 952, 441 is 1
GCD(706, 952, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 706, 952, 441 is 1
GCD(706, 952, 441) = 1
Given Input numbers are 706, 952, 441
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Greatest Common Divisior
We found the divisors of 706, 952, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 952, 441 is 1.
Therefore, GCD of numbers 706, 952, 441 is 1
Given Input Data is 706, 952, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 706 is 2 x 353
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 441 is 3 x 3 x 7 x 7
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(706, 952) = 336056
GCD(706, 952) = ( 706 x 952 ) / 336056
GCD(706, 952) = 672112 / 336056
GCD(706, 952) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 441) = 882
GCD(2, 441) = ( 2 x 441 ) / 882
GCD(2, 441) = 882 / 882
GCD(2, 441) = 1
GCD of 706, 952, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 706, 952, 441?
GCD of 706, 952, 441 is 1
2. Where do I get the detailed procedure to find GCD of 706, 952, 441?
You can find a detailed procedure to find GCD of 706, 952, 441 on our page.
3. How to find GCD of 706, 952, 441 on a calculator?
You can find the GCD of 706, 952, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.