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 10, 737, 681, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 737, 681, 213 is 1
GCD(10, 737, 681, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 737, 681, 213 is 1
GCD(10, 737, 681, 213) = 1
Given Input numbers are 10, 737, 681, 213
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 10, 737, 681, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 737, 681, 213 is 1.
Therefore, GCD of numbers 10, 737, 681, 213 is 1
Given Input Data is 10, 737, 681, 213
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 737 is 11 x 67
Prime Factorization of 681 is 3 x 227
Prime Factorization of 213 is 3 x 71
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(10, 737) = 7370
GCD(10, 737) = ( 10 x 737 ) / 7370
GCD(10, 737) = 7370 / 7370
GCD(10, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 681) = 681
GCD(1, 681) = ( 1 x 681 ) / 681
GCD(1, 681) = 681 / 681
GCD(1, 681) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
GCD of 10, 737, 681, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 737, 681, 213?
GCD of 10, 737, 681, 213 is 1
2. Where do I get the detailed procedure to find GCD of 10, 737, 681, 213?
You can find a detailed procedure to find GCD of 10, 737, 681, 213 on our page.
3. How to find GCD of 10, 737, 681, 213 on a calculator?
You can find the GCD of 10, 737, 681, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.