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 702, 338, 954 i.e. 2 largest integer that divides all the numbers equally.
GCD of 702, 338, 954 is 2
GCD(702, 338, 954) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 702, 338, 954 is 2
GCD(702, 338, 954) = 2
Given Input numbers are 702, 338, 954
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Greatest Common Divisior
We found the divisors of 702, 338, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 338, 954 is 2.
Therefore, GCD of numbers 702, 338, 954 is 2
Given Input Data is 702, 338, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 954 is 2 x 3 x 3 x 53
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(702, 338) = 9126
GCD(702, 338) = ( 702 x 338 ) / 9126
GCD(702, 338) = 237276 / 9126
GCD(702, 338) = 26
Step2:
Here we consider the GCD from the above i.e. 26 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 954) = 12402
GCD(26, 954) = ( 26 x 954 ) / 12402
GCD(26, 954) = 24804 / 12402
GCD(26, 954) = 2
GCD of 702, 338, 954 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 702, 338, 954?
GCD of 702, 338, 954 is 2
2. Where do I get the detailed procedure to find GCD of 702, 338, 954?
You can find a detailed procedure to find GCD of 702, 338, 954 on our page.
3. How to find GCD of 702, 338, 954 on a calculator?
You can find the GCD of 702, 338, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.