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 942, 214, 310, 304 i.e. 2 largest integer that divides all the numbers equally.
GCD of 942, 214, 310, 304 is 2
GCD(942, 214, 310, 304) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 214, 310, 304 is 2
GCD(942, 214, 310, 304) = 2
Given Input numbers are 942, 214, 310, 304
To find the GCD of numbers using factoring list out all the divisors of each number
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 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 942, 214, 310, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 214, 310, 304 is 2.
Therefore, GCD of numbers 942, 214, 310, 304 is 2
Given Input Data is 942, 214, 310, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 214 is 2 x 107
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(942, 214) = 100794
GCD(942, 214) = ( 942 x 214 ) / 100794
GCD(942, 214) = 201588 / 100794
GCD(942, 214) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 310) = 310
GCD(2, 310) = ( 2 x 310 ) / 310
GCD(2, 310) = 620 / 310
GCD(2, 310) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 304) = 304
GCD(2, 304) = ( 2 x 304 ) / 304
GCD(2, 304) = 608 / 304
GCD(2, 304) = 2
GCD of 942, 214, 310, 304 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 214, 310, 304?
GCD of 942, 214, 310, 304 is 2
2. Where do I get the detailed procedure to find GCD of 942, 214, 310, 304?
You can find a detailed procedure to find GCD of 942, 214, 310, 304 on our page.
3. How to find GCD of 942, 214, 310, 304 on a calculator?
You can find the GCD of 942, 214, 310, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.