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 336, 745, 316, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 745, 316, 851 is 1
GCD(336, 745, 316, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 745, 316, 851 is 1
GCD(336, 745, 316, 851) = 1
Given Input numbers are 336, 745, 316, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 336, 745, 316, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 745, 316, 851 is 1.
Therefore, GCD of numbers 336, 745, 316, 851 is 1
Given Input Data is 336, 745, 316, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 745 is 5 x 149
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 851 is 23 x 37
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(336, 745) = 250320
GCD(336, 745) = ( 336 x 745 ) / 250320
GCD(336, 745) = 250320 / 250320
GCD(336, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 336, 745, 316, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 745, 316, 851?
GCD of 336, 745, 316, 851 is 1
2. Where do I get the detailed procedure to find GCD of 336, 745, 316, 851?
You can find a detailed procedure to find GCD of 336, 745, 316, 851 on our page.
3. How to find GCD of 336, 745, 316, 851 on a calculator?
You can find the GCD of 336, 745, 316, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.