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 362, 858, 75, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 362, 858, 75, 307 is 1
GCD(362, 858, 75, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 362, 858, 75, 307 is 1
GCD(362, 858, 75, 307) = 1
Given Input numbers are 362, 858, 75, 307
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 362, 858, 75, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 858, 75, 307 is 1.
Therefore, GCD of numbers 362, 858, 75, 307 is 1
Given Input Data is 362, 858, 75, 307
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 362 is 2 x 181
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 307 is 307
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(362, 858) = 155298
GCD(362, 858) = ( 362 x 858 ) / 155298
GCD(362, 858) = 310596 / 155298
GCD(362, 858) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
GCD of 362, 858, 75, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 362, 858, 75, 307?
GCD of 362, 858, 75, 307 is 1
2. Where do I get the detailed procedure to find GCD of 362, 858, 75, 307?
You can find a detailed procedure to find GCD of 362, 858, 75, 307 on our page.
3. How to find GCD of 362, 858, 75, 307 on a calculator?
You can find the GCD of 362, 858, 75, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.