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 257, 126, 96, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 257, 126, 96, 250 is 1
GCD(257, 126, 96, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 257, 126, 96, 250 is 1
GCD(257, 126, 96, 250) = 1
Given Input numbers are 257, 126, 96, 250
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
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 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Greatest Common Divisior
We found the divisors of 257, 126, 96, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 126, 96, 250 is 1.
Therefore, GCD of numbers 257, 126, 96, 250 is 1
Given Input Data is 257, 126, 96, 250
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 257 is 257
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 250 is 2 x 5 x 5 x 5
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(257, 126) = 32382
GCD(257, 126) = ( 257 x 126 ) / 32382
GCD(257, 126) = 32382 / 32382
GCD(257, 126) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 250) = 250
GCD(1, 250) = ( 1 x 250 ) / 250
GCD(1, 250) = 250 / 250
GCD(1, 250) = 1
GCD of 257, 126, 96, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 257, 126, 96, 250?
GCD of 257, 126, 96, 250 is 1
2. Where do I get the detailed procedure to find GCD of 257, 126, 96, 250?
You can find a detailed procedure to find GCD of 257, 126, 96, 250 on our page.
3. How to find GCD of 257, 126, 96, 250 on a calculator?
You can find the GCD of 257, 126, 96, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.