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 307, 820, 348, 574 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 820, 348, 574 is 1
GCD(307, 820, 348, 574) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 820, 348, 574 is 1
GCD(307, 820, 348, 574) = 1
Given Input numbers are 307, 820, 348, 574
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Greatest Common Divisior
We found the divisors of 307, 820, 348, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 820, 348, 574 is 1.
Therefore, GCD of numbers 307, 820, 348, 574 is 1
Given Input Data is 307, 820, 348, 574
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 574 is 2 x 7 x 41
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(307, 820) = 251740
GCD(307, 820) = ( 307 x 820 ) / 251740
GCD(307, 820) = 251740 / 251740
GCD(307, 820) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
GCD of 307, 820, 348, 574 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 820, 348, 574?
GCD of 307, 820, 348, 574 is 1
2. Where do I get the detailed procedure to find GCD of 307, 820, 348, 574?
You can find a detailed procedure to find GCD of 307, 820, 348, 574 on our page.
3. How to find GCD of 307, 820, 348, 574 on a calculator?
You can find the GCD of 307, 820, 348, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.