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 908, 370, 707, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 908, 370, 707, 322 is 1
GCD(908, 370, 707, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 370, 707, 322 is 1
GCD(908, 370, 707, 322) = 1
Given Input numbers are 908, 370, 707, 322
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 908, 370, 707, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 370, 707, 322 is 1.
Therefore, GCD of numbers 908, 370, 707, 322 is 1
Given Input Data is 908, 370, 707, 322
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 707 is 7 x 101
Prime Factorization of 322 is 2 x 7 x 23
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(908, 370) = 167980
GCD(908, 370) = ( 908 x 370 ) / 167980
GCD(908, 370) = 335960 / 167980
GCD(908, 370) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 707) = 1414
GCD(2, 707) = ( 2 x 707 ) / 1414
GCD(2, 707) = 1414 / 1414
GCD(2, 707) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
GCD of 908, 370, 707, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 908, 370, 707, 322?
GCD of 908, 370, 707, 322 is 1
2. Where do I get the detailed procedure to find GCD of 908, 370, 707, 322?
You can find a detailed procedure to find GCD of 908, 370, 707, 322 on our page.
3. How to find GCD of 908, 370, 707, 322 on a calculator?
You can find the GCD of 908, 370, 707, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.