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 562, 307, 381, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 562, 307, 381, 725 is 1
GCD(562, 307, 381, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 562, 307, 381, 725 is 1
GCD(562, 307, 381, 725) = 1
Given Input numbers are 562, 307, 381, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Greatest Common Divisior
We found the divisors of 562, 307, 381, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 307, 381, 725 is 1.
Therefore, GCD of numbers 562, 307, 381, 725 is 1
Given Input Data is 562, 307, 381, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 562 is 2 x 281
Prime Factorization of 307 is 307
Prime Factorization of 381 is 3 x 127
Prime Factorization of 725 is 5 x 5 x 29
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(562, 307) = 172534
GCD(562, 307) = ( 562 x 307 ) / 172534
GCD(562, 307) = 172534 / 172534
GCD(562, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
GCD of 562, 307, 381, 725 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 562, 307, 381, 725?
GCD of 562, 307, 381, 725 is 1
2. Where do I get the detailed procedure to find GCD of 562, 307, 381, 725?
You can find a detailed procedure to find GCD of 562, 307, 381, 725 on our page.
3. How to find GCD of 562, 307, 381, 725 on a calculator?
You can find the GCD of 562, 307, 381, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.