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 557, 775, 52, 896 i.e. 1 largest integer that divides all the numbers equally.
GCD of 557, 775, 52, 896 is 1
GCD(557, 775, 52, 896) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 557, 775, 52, 896 is 1
GCD(557, 775, 52, 896) = 1
Given Input numbers are 557, 775, 52, 896
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Greatest Common Divisior
We found the divisors of 557, 775, 52, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 775, 52, 896 is 1.
Therefore, GCD of numbers 557, 775, 52, 896 is 1
Given Input Data is 557, 775, 52, 896
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 557 is 557
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
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(557, 775) = 431675
GCD(557, 775) = ( 557 x 775 ) / 431675
GCD(557, 775) = 431675 / 431675
GCD(557, 775) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
GCD(1, 896) = 896 / 896
GCD(1, 896) = 1
GCD of 557, 775, 52, 896 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 557, 775, 52, 896?
GCD of 557, 775, 52, 896 is 1
2. Where do I get the detailed procedure to find GCD of 557, 775, 52, 896?
You can find a detailed procedure to find GCD of 557, 775, 52, 896 on our page.
3. How to find GCD of 557, 775, 52, 896 on a calculator?
You can find the GCD of 557, 775, 52, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.