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, 981, 292, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 981, 292, 741 is 1
GCD(50, 981, 292, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 981, 292, 741 is 1
GCD(50, 981, 292, 741) = 1
Given Input numbers are 50, 981, 292, 741
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 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 50, 981, 292, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 981, 292, 741 is 1.
Therefore, GCD of numbers 50, 981, 292, 741 is 1
Given Input Data is 50, 981, 292, 741
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 981 is 3 x 3 x 109
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 741 is 3 x 13 x 19
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, 981) = 49050
GCD(50, 981) = ( 50 x 981 ) / 49050
GCD(50, 981) = 49050 / 49050
GCD(50, 981) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
GCD of 50, 981, 292, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 981, 292, 741?
GCD of 50, 981, 292, 741 is 1
2. Where do I get the detailed procedure to find GCD of 50, 981, 292, 741?
You can find a detailed procedure to find GCD of 50, 981, 292, 741 on our page.
3. How to find GCD of 50, 981, 292, 741 on a calculator?
You can find the GCD of 50, 981, 292, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.