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 316, 471, 962, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 471, 962, 600 is 1
GCD(316, 471, 962, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 471, 962, 600 is 1
GCD(316, 471, 962, 600) = 1
Given Input numbers are 316, 471, 962, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 316, 471, 962, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 471, 962, 600 is 1.
Therefore, GCD of numbers 316, 471, 962, 600 is 1
Given Input Data is 316, 471, 962, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 471 is 3 x 157
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 600 is 2 x 2 x 2 x 3 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(316, 471) = 148836
GCD(316, 471) = ( 316 x 471 ) / 148836
GCD(316, 471) = 148836 / 148836
GCD(316, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 316, 471, 962, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 471, 962, 600?
GCD of 316, 471, 962, 600 is 1
2. Where do I get the detailed procedure to find GCD of 316, 471, 962, 600?
You can find a detailed procedure to find GCD of 316, 471, 962, 600 on our page.
3. How to find GCD of 316, 471, 962, 600 on a calculator?
You can find the GCD of 316, 471, 962, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.