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 210, 295, 711, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 210, 295, 711, 421 is 1
GCD(210, 295, 711, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 295, 711, 421 is 1
GCD(210, 295, 711, 421) = 1
Given Input numbers are 210, 295, 711, 421
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 210, 295, 711, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 295, 711, 421 is 1.
Therefore, GCD of numbers 210, 295, 711, 421 is 1
Given Input Data is 210, 295, 711, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 295 is 5 x 59
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 421 is 421
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(210, 295) = 12390
GCD(210, 295) = ( 210 x 295 ) / 12390
GCD(210, 295) = 61950 / 12390
GCD(210, 295) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 711) = 3555
GCD(5, 711) = ( 5 x 711 ) / 3555
GCD(5, 711) = 3555 / 3555
GCD(5, 711) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 210, 295, 711, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 210, 295, 711, 421?
GCD of 210, 295, 711, 421 is 1
2. Where do I get the detailed procedure to find GCD of 210, 295, 711, 421?
You can find a detailed procedure to find GCD of 210, 295, 711, 421 on our page.
3. How to find GCD of 210, 295, 711, 421 on a calculator?
You can find the GCD of 210, 295, 711, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.