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 542, 993, 150, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 542, 993, 150, 777 is 1
GCD(542, 993, 150, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 993, 150, 777 is 1
GCD(542, 993, 150, 777) = 1
Given Input numbers are 542, 993, 150, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 542, 993, 150, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 993, 150, 777 is 1.
Therefore, GCD of numbers 542, 993, 150, 777 is 1
Given Input Data is 542, 993, 150, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 993 is 3 x 331
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 777 is 3 x 7 x 37
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(542, 993) = 538206
GCD(542, 993) = ( 542 x 993 ) / 538206
GCD(542, 993) = 538206 / 538206
GCD(542, 993) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 542, 993, 150, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 993, 150, 777?
GCD of 542, 993, 150, 777 is 1
2. Where do I get the detailed procedure to find GCD of 542, 993, 150, 777?
You can find a detailed procedure to find GCD of 542, 993, 150, 777 on our page.
3. How to find GCD of 542, 993, 150, 777 on a calculator?
You can find the GCD of 542, 993, 150, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.