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, 384, 955, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 942, 384, 955, 302 is 1
GCD(942, 384, 955, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 384, 955, 302 is 1
GCD(942, 384, 955, 302) = 1
Given Input numbers are 942, 384, 955, 302
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 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 942, 384, 955, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 384, 955, 302 is 1.
Therefore, GCD of numbers 942, 384, 955, 302 is 1
Given Input Data is 942, 384, 955, 302
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 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 955 is 5 x 191
Prime Factorization of 302 is 2 x 151
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(942, 384) = 60288
GCD(942, 384) = ( 942 x 384 ) / 60288
GCD(942, 384) = 361728 / 60288
GCD(942, 384) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 955) = 5730
GCD(6, 955) = ( 6 x 955 ) / 5730
GCD(6, 955) = 5730 / 5730
GCD(6, 955) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
GCD of 942, 384, 955, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 384, 955, 302?
GCD of 942, 384, 955, 302 is 1
2. Where do I get the detailed procedure to find GCD of 942, 384, 955, 302?
You can find a detailed procedure to find GCD of 942, 384, 955, 302 on our page.
3. How to find GCD of 942, 384, 955, 302 on a calculator?
You can find the GCD of 942, 384, 955, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.