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 344, 375, 286, 862 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 375, 286, 862 is 1
GCD(344, 375, 286, 862) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 375, 286, 862 is 1
GCD(344, 375, 286, 862) = 1
Given Input numbers are 344, 375, 286, 862
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Greatest Common Divisior
We found the divisors of 344, 375, 286, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 375, 286, 862 is 1.
Therefore, GCD of numbers 344, 375, 286, 862 is 1
Given Input Data is 344, 375, 286, 862
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 862 is 2 x 431
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(344, 375) = 129000
GCD(344, 375) = ( 344 x 375 ) / 129000
GCD(344, 375) = 129000 / 129000
GCD(344, 375) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
GCD(1, 862) = 862 / 862
GCD(1, 862) = 1
GCD of 344, 375, 286, 862 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 375, 286, 862?
GCD of 344, 375, 286, 862 is 1
2. Where do I get the detailed procedure to find GCD of 344, 375, 286, 862?
You can find a detailed procedure to find GCD of 344, 375, 286, 862 on our page.
3. How to find GCD of 344, 375, 286, 862 on a calculator?
You can find the GCD of 344, 375, 286, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.