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 402, 126, 84, 606 i.e. 6 largest integer that divides all the numbers equally.
GCD of 402, 126, 84, 606 is 6
GCD(402, 126, 84, 606) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 126, 84, 606 is 6
GCD(402, 126, 84, 606) = 6
Given Input numbers are 402, 126, 84, 606
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
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 402, 126, 84, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 126, 84, 606 is 6.
Therefore, GCD of numbers 402, 126, 84, 606 is 6
Given Input Data is 402, 126, 84, 606
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 606 is 2 x 3 x 101
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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(402, 126) = 8442
GCD(402, 126) = ( 402 x 126 ) / 8442
GCD(402, 126) = 50652 / 8442
GCD(402, 126) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 84) = 84
GCD(6, 84) = ( 6 x 84 ) / 84
GCD(6, 84) = 504 / 84
GCD(6, 84) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 606) = 606
GCD(6, 606) = ( 6 x 606 ) / 606
GCD(6, 606) = 3636 / 606
GCD(6, 606) = 6
GCD of 402, 126, 84, 606 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 126, 84, 606?
GCD of 402, 126, 84, 606 is 6
2. Where do I get the detailed procedure to find GCD of 402, 126, 84, 606?
You can find a detailed procedure to find GCD of 402, 126, 84, 606 on our page.
3. How to find GCD of 402, 126, 84, 606 on a calculator?
You can find the GCD of 402, 126, 84, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.