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 756, 331, 416, 386 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 331, 416, 386 is 1
GCD(756, 331, 416, 386) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 331, 416, 386 is 1
GCD(756, 331, 416, 386) = 1
Given Input numbers are 756, 331, 416, 386
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 756, 331, 416, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 331, 416, 386 is 1.
Therefore, GCD of numbers 756, 331, 416, 386 is 1
Given Input Data is 756, 331, 416, 386
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 331 is 331
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 386 is 2 x 193
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(756, 331) = 250236
GCD(756, 331) = ( 756 x 331 ) / 250236
GCD(756, 331) = 250236 / 250236
GCD(756, 331) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
GCD(1, 416) = 416 / 416
GCD(1, 416) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
GCD of 756, 331, 416, 386 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 331, 416, 386?
GCD of 756, 331, 416, 386 is 1
2. Where do I get the detailed procedure to find GCD of 756, 331, 416, 386?
You can find a detailed procedure to find GCD of 756, 331, 416, 386 on our page.
3. How to find GCD of 756, 331, 416, 386 on a calculator?
You can find the GCD of 756, 331, 416, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.