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 682, 358, 634, 946 i.e. 2 largest integer that divides all the numbers equally.
GCD of 682, 358, 634, 946 is 2
GCD(682, 358, 634, 946) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 358, 634, 946 is 2
GCD(682, 358, 634, 946) = 2
Given Input numbers are 682, 358, 634, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 682, 358, 634, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 358, 634, 946 is 2.
Therefore, GCD of numbers 682, 358, 634, 946 is 2
Given Input Data is 682, 358, 634, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 358 is 2 x 179
Prime Factorization of 634 is 2 x 317
Prime Factorization of 946 is 2 x 11 x 43
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(682, 358) = 122078
GCD(682, 358) = ( 682 x 358 ) / 122078
GCD(682, 358) = 244156 / 122078
GCD(682, 358) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
GCD(2, 634) = 1268 / 634
GCD(2, 634) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 946) = 946
GCD(2, 946) = ( 2 x 946 ) / 946
GCD(2, 946) = 1892 / 946
GCD(2, 946) = 2
GCD of 682, 358, 634, 946 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 358, 634, 946?
GCD of 682, 358, 634, 946 is 2
2. Where do I get the detailed procedure to find GCD of 682, 358, 634, 946?
You can find a detailed procedure to find GCD of 682, 358, 634, 946 on our page.
3. How to find GCD of 682, 358, 634, 946 on a calculator?
You can find the GCD of 682, 358, 634, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.