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 875, 645, 382, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 645, 382, 299 is 1
GCD(875, 645, 382, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 645, 382, 299 is 1
GCD(875, 645, 382, 299) = 1
Given Input numbers are 875, 645, 382, 299
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
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 875, 645, 382, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 645, 382, 299 is 1.
Therefore, GCD of numbers 875, 645, 382, 299 is 1
Given Input Data is 875, 645, 382, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 382 is 2 x 191
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(875, 645) = 112875
GCD(875, 645) = ( 875 x 645 ) / 112875
GCD(875, 645) = 564375 / 112875
GCD(875, 645) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 382) = 1910
GCD(5, 382) = ( 5 x 382 ) / 1910
GCD(5, 382) = 1910 / 1910
GCD(5, 382) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
GCD of 875, 645, 382, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 645, 382, 299?
GCD of 875, 645, 382, 299 is 1
2. Where do I get the detailed procedure to find GCD of 875, 645, 382, 299?
You can find a detailed procedure to find GCD of 875, 645, 382, 299 on our page.
3. How to find GCD of 875, 645, 382, 299 on a calculator?
You can find the GCD of 875, 645, 382, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.