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 902, 706, 721, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 902, 706, 721, 347 is 1
GCD(902, 706, 721, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 706, 721, 347 is 1
GCD(902, 706, 721, 347) = 1
Given Input numbers are 902, 706, 721, 347
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 902, 706, 721, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 706, 721, 347 is 1.
Therefore, GCD of numbers 902, 706, 721, 347 is 1
Given Input Data is 902, 706, 721, 347
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 706 is 2 x 353
Prime Factorization of 721 is 7 x 103
Prime Factorization of 347 is 347
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(902, 706) = 318406
GCD(902, 706) = ( 902 x 706 ) / 318406
GCD(902, 706) = 636812 / 318406
GCD(902, 706) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 721) = 1442
GCD(2, 721) = ( 2 x 721 ) / 1442
GCD(2, 721) = 1442 / 1442
GCD(2, 721) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 347) = 347
GCD(1, 347) = ( 1 x 347 ) / 347
GCD(1, 347) = 347 / 347
GCD(1, 347) = 1
GCD of 902, 706, 721, 347 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 706, 721, 347?
GCD of 902, 706, 721, 347 is 1
2. Where do I get the detailed procedure to find GCD of 902, 706, 721, 347?
You can find a detailed procedure to find GCD of 902, 706, 721, 347 on our page.
3. How to find GCD of 902, 706, 721, 347 on a calculator?
You can find the GCD of 902, 706, 721, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.