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 276, 390, 574, 857 i.e. 1 largest integer that divides all the numbers equally.
GCD of 276, 390, 574, 857 is 1
GCD(276, 390, 574, 857) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 390, 574, 857 is 1
GCD(276, 390, 574, 857) = 1
Given Input numbers are 276, 390, 574, 857
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
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 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Greatest Common Divisior
We found the divisors of 276, 390, 574, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 390, 574, 857 is 1.
Therefore, GCD of numbers 276, 390, 574, 857 is 1
Given Input Data is 276, 390, 574, 857
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 857 is 857
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(276, 390) = 17940
GCD(276, 390) = ( 276 x 390 ) / 17940
GCD(276, 390) = 107640 / 17940
GCD(276, 390) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 574) = 1722
GCD(6, 574) = ( 6 x 574 ) / 1722
GCD(6, 574) = 3444 / 1722
GCD(6, 574) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 857) = 1714
GCD(2, 857) = ( 2 x 857 ) / 1714
GCD(2, 857) = 1714 / 1714
GCD(2, 857) = 1
GCD of 276, 390, 574, 857 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 390, 574, 857?
GCD of 276, 390, 574, 857 is 1
2. Where do I get the detailed procedure to find GCD of 276, 390, 574, 857?
You can find a detailed procedure to find GCD of 276, 390, 574, 857 on our page.
3. How to find GCD of 276, 390, 574, 857 on a calculator?
You can find the GCD of 276, 390, 574, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.