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 451, 942, 738, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 451, 942, 738, 312 is 1
GCD(451, 942, 738, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 451, 942, 738, 312 is 1
GCD(451, 942, 738, 312) = 1
Given Input numbers are 451, 942, 738, 312
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 451, 942, 738, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 451, 942, 738, 312 is 1.
Therefore, GCD of numbers 451, 942, 738, 312 is 1
Given Input Data is 451, 942, 738, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 451 is 11 x 41
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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(451, 942) = 424842
GCD(451, 942) = ( 451 x 942 ) / 424842
GCD(451, 942) = 424842 / 424842
GCD(451, 942) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 451, 942, 738, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 451, 942, 738, 312?
GCD of 451, 942, 738, 312 is 1
2. Where do I get the detailed procedure to find GCD of 451, 942, 738, 312?
You can find a detailed procedure to find GCD of 451, 942, 738, 312 on our page.
3. How to find GCD of 451, 942, 738, 312 on a calculator?
You can find the GCD of 451, 942, 738, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.