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 285, 940, 872, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 940, 872, 770 is 1
GCD(285, 940, 872, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 940, 872, 770 is 1
GCD(285, 940, 872, 770) = 1
Given Input numbers are 285, 940, 872, 770
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 285, 940, 872, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 940, 872, 770 is 1.
Therefore, GCD of numbers 285, 940, 872, 770 is 1
Given Input Data is 285, 940, 872, 770
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 770 is 2 x 5 x 7 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(285, 940) = 53580
GCD(285, 940) = ( 285 x 940 ) / 53580
GCD(285, 940) = 267900 / 53580
GCD(285, 940) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 872) = 4360
GCD(5, 872) = ( 5 x 872 ) / 4360
GCD(5, 872) = 4360 / 4360
GCD(5, 872) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 285, 940, 872, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 285, 940, 872, 770?
GCD of 285, 940, 872, 770 is 1
2. Where do I get the detailed procedure to find GCD of 285, 940, 872, 770?
You can find a detailed procedure to find GCD of 285, 940, 872, 770 on our page.
3. How to find GCD of 285, 940, 872, 770 on a calculator?
You can find the GCD of 285, 940, 872, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.