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, 324, 244, 278 i.e. 2 largest integer that divides all the numbers equally.
GCD of 942, 324, 244, 278 is 2
GCD(942, 324, 244, 278) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 324, 244, 278 is 2
GCD(942, 324, 244, 278) = 2
Given Input numbers are 942, 324, 244, 278
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 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 942, 324, 244, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 324, 244, 278 is 2.
Therefore, GCD of numbers 942, 324, 244, 278 is 2
Given Input Data is 942, 324, 244, 278
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 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 278 is 2 x 139
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, 324) = 50868
GCD(942, 324) = ( 942 x 324 ) / 50868
GCD(942, 324) = 305208 / 50868
GCD(942, 324) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 244
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 244) = 732
GCD(6, 244) = ( 6 x 244 ) / 732
GCD(6, 244) = 1464 / 732
GCD(6, 244) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 278) = 278
GCD(2, 278) = ( 2 x 278 ) / 278
GCD(2, 278) = 556 / 278
GCD(2, 278) = 2
GCD of 942, 324, 244, 278 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 324, 244, 278?
GCD of 942, 324, 244, 278 is 2
2. Where do I get the detailed procedure to find GCD of 942, 324, 244, 278?
You can find a detailed procedure to find GCD of 942, 324, 244, 278 on our page.
3. How to find GCD of 942, 324, 244, 278 on a calculator?
You can find the GCD of 942, 324, 244, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.