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 857, 574, 550, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 857, 574, 550, 507 is 1
GCD(857, 574, 550, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 857, 574, 550, 507 is 1
GCD(857, 574, 550, 507) = 1
Given Input numbers are 857, 574, 550, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 857, 574, 550, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 574, 550, 507 is 1.
Therefore, GCD of numbers 857, 574, 550, 507 is 1
Given Input Data is 857, 574, 550, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 857 is 857
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 507 is 3 x 13 x 13
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(857, 574) = 491918
GCD(857, 574) = ( 857 x 574 ) / 491918
GCD(857, 574) = 491918 / 491918
GCD(857, 574) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
GCD of 857, 574, 550, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 857, 574, 550, 507?
GCD of 857, 574, 550, 507 is 1
2. Where do I get the detailed procedure to find GCD of 857, 574, 550, 507?
You can find a detailed procedure to find GCD of 857, 574, 550, 507 on our page.
3. How to find GCD of 857, 574, 550, 507 on a calculator?
You can find the GCD of 857, 574, 550, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.