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, 353, 470, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 353, 470, 682 is 1
GCD(70, 353, 470, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 353, 470, 682 is 1
GCD(70, 353, 470, 682) = 1
Given Input numbers are 70, 353, 470, 682
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 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 70, 353, 470, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 353, 470, 682 is 1.
Therefore, GCD of numbers 70, 353, 470, 682 is 1
Given Input Data is 70, 353, 470, 682
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 353 is 353
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 682 is 2 x 11 x 31
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, 353) = 24710
GCD(70, 353) = ( 70 x 353 ) / 24710
GCD(70, 353) = 24710 / 24710
GCD(70, 353) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
GCD(1, 682) = 682 / 682
GCD(1, 682) = 1
GCD of 70, 353, 470, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 353, 470, 682?
GCD of 70, 353, 470, 682 is 1
2. Where do I get the detailed procedure to find GCD of 70, 353, 470, 682?
You can find a detailed procedure to find GCD of 70, 353, 470, 682 on our page.
3. How to find GCD of 70, 353, 470, 682 on a calculator?
You can find the GCD of 70, 353, 470, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.