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 57, 380, 266, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 380, 266, 440 is 1
GCD(57, 380, 266, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 380, 266, 440 is 1
GCD(57, 380, 266, 440) = 1
Given Input numbers are 57, 380, 266, 440
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 57, 380, 266, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 380, 266, 440 is 1.
Therefore, GCD of numbers 57, 380, 266, 440 is 1
Given Input Data is 57, 380, 266, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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(57, 380) = 1140
GCD(57, 380) = ( 57 x 380 ) / 1140
GCD(57, 380) = 21660 / 1140
GCD(57, 380) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 266) = 266
GCD(19, 266) = ( 19 x 266 ) / 266
GCD(19, 266) = 5054 / 266
GCD(19, 266) = 19
Step3:
Here we consider the GCD from the above i.e. 19 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 440) = 8360
GCD(19, 440) = ( 19 x 440 ) / 8360
GCD(19, 440) = 8360 / 8360
GCD(19, 440) = 1
GCD of 57, 380, 266, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 380, 266, 440?
GCD of 57, 380, 266, 440 is 1
2. Where do I get the detailed procedure to find GCD of 57, 380, 266, 440?
You can find a detailed procedure to find GCD of 57, 380, 266, 440 on our page.
3. How to find GCD of 57, 380, 266, 440 on a calculator?
You can find the GCD of 57, 380, 266, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.