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 780, 857, 400, 266 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 857, 400, 266 is 1
GCD(780, 857, 400, 266) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 857, 400, 266 is 1
GCD(780, 857, 400, 266) = 1
Given Input numbers are 780, 857, 400, 266
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Greatest Common Divisior
We found the divisors of 780, 857, 400, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 857, 400, 266 is 1.
Therefore, GCD of numbers 780, 857, 400, 266 is 1
Given Input Data is 780, 857, 400, 266
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 857 is 857
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 266 is 2 x 7 x 19
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(780, 857) = 668460
GCD(780, 857) = ( 780 x 857 ) / 668460
GCD(780, 857) = 668460 / 668460
GCD(780, 857) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
GCD(1, 266) = 266 / 266
GCD(1, 266) = 1
GCD of 780, 857, 400, 266 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 857, 400, 266?
GCD of 780, 857, 400, 266 is 1
2. Where do I get the detailed procedure to find GCD of 780, 857, 400, 266?
You can find a detailed procedure to find GCD of 780, 857, 400, 266 on our page.
3. How to find GCD of 780, 857, 400, 266 on a calculator?
You can find the GCD of 780, 857, 400, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.