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 242, 126, 977, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 126, 977, 484 is 1
GCD(242, 126, 977, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 126, 977, 484 is 1
GCD(242, 126, 977, 484) = 1
Given Input numbers are 242, 126, 977, 484
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 242, 126, 977, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 126, 977, 484 is 1.
Therefore, GCD of numbers 242, 126, 977, 484 is 1
Given Input Data is 242, 126, 977, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 977 is 977
Prime Factorization of 484 is 2 x 2 x 11 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(242, 126) = 15246
GCD(242, 126) = ( 242 x 126 ) / 15246
GCD(242, 126) = 30492 / 15246
GCD(242, 126) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 977) = 1954
GCD(2, 977) = ( 2 x 977 ) / 1954
GCD(2, 977) = 1954 / 1954
GCD(2, 977) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 242, 126, 977, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 126, 977, 484?
GCD of 242, 126, 977, 484 is 1
2. Where do I get the detailed procedure to find GCD of 242, 126, 977, 484?
You can find a detailed procedure to find GCD of 242, 126, 977, 484 on our page.
3. How to find GCD of 242, 126, 977, 484 on a calculator?
You can find the GCD of 242, 126, 977, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.