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 97, 631, 267, 257 i.e. 1 largest integer that divides all the numbers equally.
GCD of 97, 631, 267, 257 is 1
GCD(97, 631, 267, 257) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 97, 631, 267, 257 is 1
GCD(97, 631, 267, 257) = 1
Given Input numbers are 97, 631, 267, 257
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Greatest Common Divisior
We found the divisors of 97, 631, 267, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 631, 267, 257 is 1.
Therefore, GCD of numbers 97, 631, 267, 257 is 1
Given Input Data is 97, 631, 267, 257
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 97 is 97
Prime Factorization of 631 is 631
Prime Factorization of 267 is 3 x 89
Prime Factorization of 257 is 257
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(97, 631) = 61207
GCD(97, 631) = ( 97 x 631 ) / 61207
GCD(97, 631) = 61207 / 61207
GCD(97, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 257) = 257
GCD(1, 257) = ( 1 x 257 ) / 257
GCD(1, 257) = 257 / 257
GCD(1, 257) = 1
GCD of 97, 631, 267, 257 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 97, 631, 267, 257?
GCD of 97, 631, 267, 257 is 1
2. Where do I get the detailed procedure to find GCD of 97, 631, 267, 257?
You can find a detailed procedure to find GCD of 97, 631, 267, 257 on our page.
3. How to find GCD of 97, 631, 267, 257 on a calculator?
You can find the GCD of 97, 631, 267, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.