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, 573, 74, 105 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 573, 74, 105 is 1
GCD(316, 573, 74, 105) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 573, 74, 105 is 1
GCD(316, 573, 74, 105) = 1
Given Input numbers are 316, 573, 74, 105
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 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 316, 573, 74, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 573, 74, 105 is 1.
Therefore, GCD of numbers 316, 573, 74, 105 is 1
Given Input Data is 316, 573, 74, 105
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 573 is 3 x 191
Prime Factorization of 74 is 2 x 37
Prime Factorization of 105 is 3 x 5 x 7
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, 573) = 181068
GCD(316, 573) = ( 316 x 573 ) / 181068
GCD(316, 573) = 181068 / 181068
GCD(316, 573) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
GCD of 316, 573, 74, 105 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 573, 74, 105?
GCD of 316, 573, 74, 105 is 1
2. Where do I get the detailed procedure to find GCD of 316, 573, 74, 105?
You can find a detailed procedure to find GCD of 316, 573, 74, 105 on our page.
3. How to find GCD of 316, 573, 74, 105 on a calculator?
You can find the GCD of 316, 573, 74, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.