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 70, 566, 359, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 566, 359, 441 is 1
GCD(70, 566, 359, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 566, 359, 441 is 1
GCD(70, 566, 359, 441) = 1
Given Input numbers are 70, 566, 359, 441
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
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 70, 566, 359, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 566, 359, 441 is 1.
Therefore, GCD of numbers 70, 566, 359, 441 is 1
Given Input Data is 70, 566, 359, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 566 is 2 x 283
Prime Factorization of 359 is 359
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(70, 566) = 19810
GCD(70, 566) = ( 70 x 566 ) / 19810
GCD(70, 566) = 39620 / 19810
GCD(70, 566) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 359) = 718
GCD(2, 359) = ( 2 x 359 ) / 718
GCD(2, 359) = 718 / 718
GCD(2, 359) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
GCD of 70, 566, 359, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 566, 359, 441?
GCD of 70, 566, 359, 441 is 1
2. Where do I get the detailed procedure to find GCD of 70, 566, 359, 441?
You can find a detailed procedure to find GCD of 70, 566, 359, 441 on our page.
3. How to find GCD of 70, 566, 359, 441 on a calculator?
You can find the GCD of 70, 566, 359, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.