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 31, 354, 391, 651 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 354, 391, 651 is 1
GCD(31, 354, 391, 651) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 354, 391, 651 is 1
GCD(31, 354, 391, 651) = 1
Given Input numbers are 31, 354, 391, 651
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Greatest Common Divisior
We found the divisors of 31, 354, 391, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 354, 391, 651 is 1.
Therefore, GCD of numbers 31, 354, 391, 651 is 1
Given Input Data is 31, 354, 391, 651
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 391 is 17 x 23
Prime Factorization of 651 is 3 x 7 x 31
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(31, 354) = 10974
GCD(31, 354) = ( 31 x 354 ) / 10974
GCD(31, 354) = 10974 / 10974
GCD(31, 354) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 651) = 651
GCD(1, 651) = ( 1 x 651 ) / 651
GCD(1, 651) = 651 / 651
GCD(1, 651) = 1
GCD of 31, 354, 391, 651 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 354, 391, 651?
GCD of 31, 354, 391, 651 is 1
2. Where do I get the detailed procedure to find GCD of 31, 354, 391, 651?
You can find a detailed procedure to find GCD of 31, 354, 391, 651 on our page.
3. How to find GCD of 31, 354, 391, 651 on a calculator?
You can find the GCD of 31, 354, 391, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.