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 71, 423, 126, 290 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 423, 126, 290 is 1
GCD(71, 423, 126, 290) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 423, 126, 290 is 1
GCD(71, 423, 126, 290) = 1
Given Input numbers are 71, 423, 126, 290
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
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 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Greatest Common Divisior
We found the divisors of 71, 423, 126, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 423, 126, 290 is 1.
Therefore, GCD of numbers 71, 423, 126, 290 is 1
Given Input Data is 71, 423, 126, 290
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 290 is 2 x 5 x 29
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(71, 423) = 30033
GCD(71, 423) = ( 71 x 423 ) / 30033
GCD(71, 423) = 30033 / 30033
GCD(71, 423) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
GCD(1, 290) = 290 / 290
GCD(1, 290) = 1
GCD of 71, 423, 126, 290 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 423, 126, 290?
GCD of 71, 423, 126, 290 is 1
2. Where do I get the detailed procedure to find GCD of 71, 423, 126, 290?
You can find a detailed procedure to find GCD of 71, 423, 126, 290 on our page.
3. How to find GCD of 71, 423, 126, 290 on a calculator?
You can find the GCD of 71, 423, 126, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.