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 103, 676, 864, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 676, 864, 351 is 1
GCD(103, 676, 864, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 676, 864, 351 is 1
GCD(103, 676, 864, 351) = 1
Given Input numbers are 103, 676, 864, 351
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 103, 676, 864, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 676, 864, 351 is 1.
Therefore, GCD of numbers 103, 676, 864, 351 is 1
Given Input Data is 103, 676, 864, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 351 is 3 x 3 x 3 x 13
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(103, 676) = 69628
GCD(103, 676) = ( 103 x 676 ) / 69628
GCD(103, 676) = 69628 / 69628
GCD(103, 676) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 1
GCD of 103, 676, 864, 351 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 676, 864, 351?
GCD of 103, 676, 864, 351 is 1
2. Where do I get the detailed procedure to find GCD of 103, 676, 864, 351?
You can find a detailed procedure to find GCD of 103, 676, 864, 351 on our page.
3. How to find GCD of 103, 676, 864, 351 on a calculator?
You can find the GCD of 103, 676, 864, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.