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, 750, 299, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 557, 750, 299, 477 is 1
GCD(557, 750, 299, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 557, 750, 299, 477 is 1
GCD(557, 750, 299, 477) = 1
Given Input numbers are 557, 750, 299, 477
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 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 557, 750, 299, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 750, 299, 477 is 1.
Therefore, GCD of numbers 557, 750, 299, 477 is 1
Given Input Data is 557, 750, 299, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 557 is 557
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 299 is 13 x 23
Prime Factorization of 477 is 3 x 3 x 53
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, 750) = 417750
GCD(557, 750) = ( 557 x 750 ) / 417750
GCD(557, 750) = 417750 / 417750
GCD(557, 750) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 557, 750, 299, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 557, 750, 299, 477?
GCD of 557, 750, 299, 477 is 1
2. Where do I get the detailed procedure to find GCD of 557, 750, 299, 477?
You can find a detailed procedure to find GCD of 557, 750, 299, 477 on our page.
3. How to find GCD of 557, 750, 299, 477 on a calculator?
You can find the GCD of 557, 750, 299, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.