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 356, 510, 21, 671 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 510, 21, 671 is 1
GCD(356, 510, 21, 671) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 510, 21, 671 is 1
GCD(356, 510, 21, 671) = 1
Given Input numbers are 356, 510, 21, 671
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Greatest Common Divisior
We found the divisors of 356, 510, 21, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 510, 21, 671 is 1.
Therefore, GCD of numbers 356, 510, 21, 671 is 1
Given Input Data is 356, 510, 21, 671
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 21 is 3 x 7
Prime Factorization of 671 is 11 x 61
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(356, 510) = 90780
GCD(356, 510) = ( 356 x 510 ) / 90780
GCD(356, 510) = 181560 / 90780
GCD(356, 510) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 21) = 42
GCD(2, 21) = ( 2 x 21 ) / 42
GCD(2, 21) = 42 / 42
GCD(2, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
GCD of 356, 510, 21, 671 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 510, 21, 671?
GCD of 356, 510, 21, 671 is 1
2. Where do I get the detailed procedure to find GCD of 356, 510, 21, 671?
You can find a detailed procedure to find GCD of 356, 510, 21, 671 on our page.
3. How to find GCD of 356, 510, 21, 671 on a calculator?
You can find the GCD of 356, 510, 21, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.