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 592, 200, 928, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 592, 200, 928, 691 is 1
GCD(592, 200, 928, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 592, 200, 928, 691 is 1
GCD(592, 200, 928, 691) = 1
Given Input numbers are 592, 200, 928, 691
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 592, 200, 928, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 200, 928, 691 is 1.
Therefore, GCD of numbers 592, 200, 928, 691 is 1
Given Input Data is 592, 200, 928, 691
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 691 is 691
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(592, 200) = 14800
GCD(592, 200) = ( 592 x 200 ) / 14800
GCD(592, 200) = 118400 / 14800
GCD(592, 200) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 928) = 928
GCD(8, 928) = ( 8 x 928 ) / 928
GCD(8, 928) = 7424 / 928
GCD(8, 928) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 691) = 5528
GCD(8, 691) = ( 8 x 691 ) / 5528
GCD(8, 691) = 5528 / 5528
GCD(8, 691) = 1
GCD of 592, 200, 928, 691 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 592, 200, 928, 691?
GCD of 592, 200, 928, 691 is 1
2. Where do I get the detailed procedure to find GCD of 592, 200, 928, 691?
You can find a detailed procedure to find GCD of 592, 200, 928, 691 on our page.
3. How to find GCD of 592, 200, 928, 691 on a calculator?
You can find the GCD of 592, 200, 928, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.