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 331, 520, 278, 906 i.e. 1 largest integer that divides all the numbers equally.
GCD of 331, 520, 278, 906 is 1
GCD(331, 520, 278, 906) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 331, 520, 278, 906 is 1
GCD(331, 520, 278, 906) = 1
Given Input numbers are 331, 520, 278, 906
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Greatest Common Divisior
We found the divisors of 331, 520, 278, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 520, 278, 906 is 1.
Therefore, GCD of numbers 331, 520, 278, 906 is 1
Given Input Data is 331, 520, 278, 906
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 331 is 331
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 278 is 2 x 139
Prime Factorization of 906 is 2 x 3 x 151
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(331, 520) = 172120
GCD(331, 520) = ( 331 x 520 ) / 172120
GCD(331, 520) = 172120 / 172120
GCD(331, 520) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 906) = 906
GCD(1, 906) = ( 1 x 906 ) / 906
GCD(1, 906) = 906 / 906
GCD(1, 906) = 1
GCD of 331, 520, 278, 906 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 331, 520, 278, 906?
GCD of 331, 520, 278, 906 is 1
2. Where do I get the detailed procedure to find GCD of 331, 520, 278, 906?
You can find a detailed procedure to find GCD of 331, 520, 278, 906 on our page.
3. How to find GCD of 331, 520, 278, 906 on a calculator?
You can find the GCD of 331, 520, 278, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.