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 480, 350, 939, 853 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 350, 939, 853 is 1
GCD(480, 350, 939, 853) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 350, 939, 853 is 1
GCD(480, 350, 939, 853) = 1
Given Input numbers are 480, 350, 939, 853
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Greatest Common Divisior
We found the divisors of 480, 350, 939, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 350, 939, 853 is 1.
Therefore, GCD of numbers 480, 350, 939, 853 is 1
Given Input Data is 480, 350, 939, 853
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 939 is 3 x 313
Prime Factorization of 853 is 853
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(480, 350) = 16800
GCD(480, 350) = ( 480 x 350 ) / 16800
GCD(480, 350) = 168000 / 16800
GCD(480, 350) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 939
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 939) = 9390
GCD(10, 939) = ( 10 x 939 ) / 9390
GCD(10, 939) = 9390 / 9390
GCD(10, 939) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 853) = 853
GCD(1, 853) = ( 1 x 853 ) / 853
GCD(1, 853) = 853 / 853
GCD(1, 853) = 1
GCD of 480, 350, 939, 853 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 350, 939, 853?
GCD of 480, 350, 939, 853 is 1
2. Where do I get the detailed procedure to find GCD of 480, 350, 939, 853?
You can find a detailed procedure to find GCD of 480, 350, 939, 853 on our page.
3. How to find GCD of 480, 350, 939, 853 on a calculator?
You can find the GCD of 480, 350, 939, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.