GCD of 702, 171, 606 Calculator
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, 171, 606 i.e. 3 largest integer that divides all the numbers equally.
GCD of 702, 171, 606 is 3
GCD(702, 171, 606) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 702, 171, 606 is 3
GCD(702, 171, 606) = 3
GCDof 702,171,606 is 3
Given Input numbers are 702, 171, 606
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 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Greatest Common Divisior
We found the divisors of 702, 171, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 171, 606 is 3.
Therefore, GCD of numbers 702, 171, 606 is 3
Given Input Data is 702, 171, 606
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 171 is 3 x 3 x 19
Prime Factorization of 606 is 2 x 3 x 101
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 702, 171, 606 using LCM Formula
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, 171) = 13338
GCD(702, 171) = ( 702 x 171 ) / 13338
GCD(702, 171) = 120042 / 13338
GCD(702, 171) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 606) = 1818
GCD(9, 606) = ( 9 x 606 ) / 1818
GCD(9, 606) = 5454 / 1818
GCD(9, 606) = 3
GCD of 702, 171, 606 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 702, 171, 606
1. What is the GCD of 702, 171, 606?
GCD of 702, 171, 606 is 3
2. Where do I get the detailed procedure to find GCD of 702, 171, 606?
You can find a detailed procedure to find GCD of 702, 171, 606 on our page.
3. How to find GCD of 702, 171, 606 on a calculator?
You can find the GCD of 702, 171, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.