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, 135, 50, 543 i.e. 1 largest integer that divides all the numbers equally.
GCD of 942, 135, 50, 543 is 1
GCD(942, 135, 50, 543) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 135, 50, 543 is 1
GCD(942, 135, 50, 543) = 1
Given Input numbers are 942, 135, 50, 543
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 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Greatest Common Divisior
We found the divisors of 942, 135, 50, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 135, 50, 543 is 1.
Therefore, GCD of numbers 942, 135, 50, 543 is 1
Given Input Data is 942, 135, 50, 543
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 135 is 3 x 3 x 3 x 5
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 543 is 3 x 181
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, 135) = 42390
GCD(942, 135) = ( 942 x 135 ) / 42390
GCD(942, 135) = 127170 / 42390
GCD(942, 135) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 50) = 150
GCD(3, 50) = ( 3 x 50 ) / 150
GCD(3, 50) = 150 / 150
GCD(3, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 543
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 543) = 543
GCD(1, 543) = ( 1 x 543 ) / 543
GCD(1, 543) = 543 / 543
GCD(1, 543) = 1
GCD of 942, 135, 50, 543 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 135, 50, 543?
GCD of 942, 135, 50, 543 is 1
2. Where do I get the detailed procedure to find GCD of 942, 135, 50, 543?
You can find a detailed procedure to find GCD of 942, 135, 50, 543 on our page.
3. How to find GCD of 942, 135, 50, 543 on a calculator?
You can find the GCD of 942, 135, 50, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.