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 759, 853, 398, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 853, 398, 250 is 1
GCD(759, 853, 398, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 853, 398, 250 is 1
GCD(759, 853, 398, 250) = 1
Given Input numbers are 759, 853, 398, 250
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Greatest Common Divisior
We found the divisors of 759, 853, 398, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 853, 398, 250 is 1.
Therefore, GCD of numbers 759, 853, 398, 250 is 1
Given Input Data is 759, 853, 398, 250
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 853 is 853
Prime Factorization of 398 is 2 x 199
Prime Factorization of 250 is 2 x 5 x 5 x 5
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(759, 853) = 647427
GCD(759, 853) = ( 759 x 853 ) / 647427
GCD(759, 853) = 647427 / 647427
GCD(759, 853) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 250) = 250
GCD(1, 250) = ( 1 x 250 ) / 250
GCD(1, 250) = 250 / 250
GCD(1, 250) = 1
GCD of 759, 853, 398, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 853, 398, 250?
GCD of 759, 853, 398, 250 is 1
2. Where do I get the detailed procedure to find GCD of 759, 853, 398, 250?
You can find a detailed procedure to find GCD of 759, 853, 398, 250 on our page.
3. How to find GCD of 759, 853, 398, 250 on a calculator?
You can find the GCD of 759, 853, 398, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.