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 657, 753, 298 i.e. 1 largest integer that divides all the numbers equally.
GCD of 657, 753, 298 is 1
GCD(657, 753, 298) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 657, 753, 298 is 1
GCD(657, 753, 298) = 1
Given Input numbers are 657, 753, 298
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Greatest Common Divisior
We found the divisors of 657, 753, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 753, 298 is 1.
Therefore, GCD of numbers 657, 753, 298 is 1
Given Input Data is 657, 753, 298
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 753 is 3 x 251
Prime Factorization of 298 is 2 x 149
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(657, 753) = 164907
GCD(657, 753) = ( 657 x 753 ) / 164907
GCD(657, 753) = 494721 / 164907
GCD(657, 753) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 298) = 894
GCD(3, 298) = ( 3 x 298 ) / 894
GCD(3, 298) = 894 / 894
GCD(3, 298) = 1
GCD of 657, 753, 298 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 657, 753, 298?
GCD of 657, 753, 298 is 1
2. Where do I get the detailed procedure to find GCD of 657, 753, 298?
You can find a detailed procedure to find GCD of 657, 753, 298 on our page.
3. How to find GCD of 657, 753, 298 on a calculator?
You can find the GCD of 657, 753, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.