GCD of 891, 968, 257 Calculator
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 891, 968, 257 i.e. 1 largest integer that divides all the numbers equally.
GCD of 891, 968, 257 is 1
GCD(891, 968, 257) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 891, 968, 257 is 1
GCD(891, 968, 257) = 1
GCDof 891,968,257 is 1
Given Input numbers are 891, 968, 257
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
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 891, 968, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 968, 257 is 1.
Therefore, GCD of numbers 891, 968, 257 is 1
Given Input Data is 891, 968, 257
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 257 is 257
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 891, 968, 257 using LCM Formula
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(891, 968) = 78408
GCD(891, 968) = ( 891 x 968 ) / 78408
GCD(891, 968) = 862488 / 78408
GCD(891, 968) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 257) = 2827
GCD(11, 257) = ( 11 x 257 ) / 2827
GCD(11, 257) = 2827 / 2827
GCD(11, 257) = 1
GCD of 891, 968, 257 is 1
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FAQs on GCD of numbers 891, 968, 257
1. What is the GCD of 891, 968, 257?
GCD of 891, 968, 257 is 1
2. Where do I get the detailed procedure to find GCD of 891, 968, 257?
You can find a detailed procedure to find GCD of 891, 968, 257 on our page.
3. How to find GCD of 891, 968, 257 on a calculator?
You can find the GCD of 891, 968, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.