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 862, 940, 311, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 862, 940, 311, 142 is 1
GCD(862, 940, 311, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 862, 940, 311, 142 is 1
GCD(862, 940, 311, 142) = 1
Given Input numbers are 862, 940, 311, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
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 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 862, 940, 311, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 940, 311, 142 is 1.
Therefore, GCD of numbers 862, 940, 311, 142 is 1
Given Input Data is 862, 940, 311, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 862 is 2 x 431
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 311 is 311
Prime Factorization of 142 is 2 x 71
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(862, 940) = 405140
GCD(862, 940) = ( 862 x 940 ) / 405140
GCD(862, 940) = 810280 / 405140
GCD(862, 940) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 311) = 622
GCD(2, 311) = ( 2 x 311 ) / 622
GCD(2, 311) = 622 / 622
GCD(2, 311) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
GCD of 862, 940, 311, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 862, 940, 311, 142?
GCD of 862, 940, 311, 142 is 1
2. Where do I get the detailed procedure to find GCD of 862, 940, 311, 142?
You can find a detailed procedure to find GCD of 862, 940, 311, 142 on our page.
3. How to find GCD of 862, 940, 311, 142 on a calculator?
You can find the GCD of 862, 940, 311, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.