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 810, 142, 785, 277 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 142, 785, 277 is 1
GCD(810, 142, 785, 277) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 142, 785, 277 is 1
GCD(810, 142, 785, 277) = 1
Given Input numbers are 810, 142, 785, 277
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Greatest Common Divisior
We found the divisors of 810, 142, 785, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 142, 785, 277 is 1.
Therefore, GCD of numbers 810, 142, 785, 277 is 1
Given Input Data is 810, 142, 785, 277
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 142 is 2 x 71
Prime Factorization of 785 is 5 x 157
Prime Factorization of 277 is 277
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(810, 142) = 57510
GCD(810, 142) = ( 810 x 142 ) / 57510
GCD(810, 142) = 115020 / 57510
GCD(810, 142) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 785) = 1570
GCD(2, 785) = ( 2 x 785 ) / 1570
GCD(2, 785) = 1570 / 1570
GCD(2, 785) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 277) = 277
GCD(1, 277) = ( 1 x 277 ) / 277
GCD(1, 277) = 277 / 277
GCD(1, 277) = 1
GCD of 810, 142, 785, 277 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 142, 785, 277?
GCD of 810, 142, 785, 277 is 1
2. Where do I get the detailed procedure to find GCD of 810, 142, 785, 277?
You can find a detailed procedure to find GCD of 810, 142, 785, 277 on our page.
3. How to find GCD of 810, 142, 785, 277 on a calculator?
You can find the GCD of 810, 142, 785, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.