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 868, 370, 112, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 868, 370, 112, 299 is 1
GCD(868, 370, 112, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 868, 370, 112, 299 is 1
GCD(868, 370, 112, 299) = 1
Given Input numbers are 868, 370, 112, 299
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 868, 370, 112, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 370, 112, 299 is 1.
Therefore, GCD of numbers 868, 370, 112, 299 is 1
Given Input Data is 868, 370, 112, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 299 is 13 x 23
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(868, 370) = 160580
GCD(868, 370) = ( 868 x 370 ) / 160580
GCD(868, 370) = 321160 / 160580
GCD(868, 370) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
GCD(2, 112) = 224 / 112
GCD(2, 112) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 299) = 598
GCD(2, 299) = ( 2 x 299 ) / 598
GCD(2, 299) = 598 / 598
GCD(2, 299) = 1
GCD of 868, 370, 112, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 868, 370, 112, 299?
GCD of 868, 370, 112, 299 is 1
2. Where do I get the detailed procedure to find GCD of 868, 370, 112, 299?
You can find a detailed procedure to find GCD of 868, 370, 112, 299 on our page.
3. How to find GCD of 868, 370, 112, 299 on a calculator?
You can find the GCD of 868, 370, 112, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.