GCD of 253, 667, 898 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 253, 667, 898 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 667, 898 is 1
GCD(253, 667, 898) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 667, 898 is 1
GCD(253, 667, 898) = 1
GCDof 253,667,898 is 1
Given Input numbers are 253, 667, 898
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Greatest Common Divisior
We found the divisors of 253, 667, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 667, 898 is 1.
Therefore, GCD of numbers 253, 667, 898 is 1
Given Input Data is 253, 667, 898
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 667 is 23 x 29
Prime Factorization of 898 is 2 x 449
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 253, 667, 898 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(253, 667) = 7337
GCD(253, 667) = ( 253 x 667 ) / 7337
GCD(253, 667) = 168751 / 7337
GCD(253, 667) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 898
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 898) = 20654
GCD(23, 898) = ( 23 x 898 ) / 20654
GCD(23, 898) = 20654 / 20654
GCD(23, 898) = 1
GCD of 253, 667, 898 is 1
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FAQs on GCD of numbers 253, 667, 898
1. What is the GCD of 253, 667, 898?
GCD of 253, 667, 898 is 1
2. Where do I get the detailed procedure to find GCD of 253, 667, 898?
You can find a detailed procedure to find GCD of 253, 667, 898 on our page.
3. How to find GCD of 253, 667, 898 on a calculator?
You can find the GCD of 253, 667, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.