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 126, 402, 62, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 402, 62, 789 is 1
GCD(126, 402, 62, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 402, 62, 789 is 1
GCD(126, 402, 62, 789) = 1
Given Input numbers are 126, 402, 62, 789
To find the GCD of numbers using factoring list out all the divisors of each number
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 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 126, 402, 62, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 402, 62, 789 is 1.
Therefore, GCD of numbers 126, 402, 62, 789 is 1
Given Input Data is 126, 402, 62, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 62 is 2 x 31
Prime Factorization of 789 is 3 x 263
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(126, 402) = 8442
GCD(126, 402) = ( 126 x 402 ) / 8442
GCD(126, 402) = 50652 / 8442
GCD(126, 402) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 62) = 186
GCD(6, 62) = ( 6 x 62 ) / 186
GCD(6, 62) = 372 / 186
GCD(6, 62) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 789) = 1578
GCD(2, 789) = ( 2 x 789 ) / 1578
GCD(2, 789) = 1578 / 1578
GCD(2, 789) = 1
GCD of 126, 402, 62, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 402, 62, 789?
GCD of 126, 402, 62, 789 is 1
2. Where do I get the detailed procedure to find GCD of 126, 402, 62, 789?
You can find a detailed procedure to find GCD of 126, 402, 62, 789 on our page.
3. How to find GCD of 126, 402, 62, 789 on a calculator?
You can find the GCD of 126, 402, 62, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.