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 50, 27, 48, 77 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 27, 48, 77 is 1
GCD(50, 27, 48, 77) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 27, 48, 77 is 1
GCD(50, 27, 48, 77) = 1
Given Input numbers are 50, 27, 48, 77
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Greatest Common Divisior
We found the divisors of 50, 27, 48, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 27, 48, 77 is 1.
Therefore, GCD of numbers 50, 27, 48, 77 is 1
Given Input Data is 50, 27, 48, 77
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 77 is 7 x 11
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(50, 27) = 1350
GCD(50, 27) = ( 50 x 27 ) / 1350
GCD(50, 27) = 1350 / 1350
GCD(50, 27) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
GCD of 50, 27, 48, 77 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 27, 48, 77?
GCD of 50, 27, 48, 77 is 1
2. Where do I get the detailed procedure to find GCD of 50, 27, 48, 77?
You can find a detailed procedure to find GCD of 50, 27, 48, 77 on our page.
3. How to find GCD of 50, 27, 48, 77 on a calculator?
You can find the GCD of 50, 27, 48, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.