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, 701, 71, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 701, 71, 324 is 1
GCD(103, 701, 71, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 701, 71, 324 is 1
GCD(103, 701, 71, 324) = 1
Given Input numbers are 103, 701, 71, 324
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 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 103, 701, 71, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 701, 71, 324 is 1.
Therefore, GCD of numbers 103, 701, 71, 324 is 1
Given Input Data is 103, 701, 71, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 701 is 701
Prime Factorization of 71 is 71
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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, 701) = 72203
GCD(103, 701) = ( 103 x 701 ) / 72203
GCD(103, 701) = 72203 / 72203
GCD(103, 701) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 103, 701, 71, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 701, 71, 324?
GCD of 103, 701, 71, 324 is 1
2. Where do I get the detailed procedure to find GCD of 103, 701, 71, 324?
You can find a detailed procedure to find GCD of 103, 701, 71, 324 on our page.
3. How to find GCD of 103, 701, 71, 324 on a calculator?
You can find the GCD of 103, 701, 71, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.