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 428, 862, 85, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 862, 85, 878 is 1
GCD(428, 862, 85, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 862, 85, 878 is 1
GCD(428, 862, 85, 878) = 1
Given Input numbers are 428, 862, 85, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 428, 862, 85, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 862, 85, 878 is 1.
Therefore, GCD of numbers 428, 862, 85, 878 is 1
Given Input Data is 428, 862, 85, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 862 is 2 x 431
Prime Factorization of 85 is 5 x 17
Prime Factorization of 878 is 2 x 439
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(428, 862) = 184468
GCD(428, 862) = ( 428 x 862 ) / 184468
GCD(428, 862) = 368936 / 184468
GCD(428, 862) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 85) = 170
GCD(2, 85) = ( 2 x 85 ) / 170
GCD(2, 85) = 170 / 170
GCD(2, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
GCD of 428, 862, 85, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 862, 85, 878?
GCD of 428, 862, 85, 878 is 1
2. Where do I get the detailed procedure to find GCD of 428, 862, 85, 878?
You can find a detailed procedure to find GCD of 428, 862, 85, 878 on our page.
3. How to find GCD of 428, 862, 85, 878 on a calculator?
You can find the GCD of 428, 862, 85, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.