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, 724, 149, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 657, 724, 149, 501 is 1
GCD(657, 724, 149, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 657, 724, 149, 501 is 1
GCD(657, 724, 149, 501) = 1
Given Input numbers are 657, 724, 149, 501
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 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 657, 724, 149, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 724, 149, 501 is 1.
Therefore, GCD of numbers 657, 724, 149, 501 is 1
Given Input Data is 657, 724, 149, 501
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 724 is 2 x 2 x 181
Prime Factorization of 149 is 149
Prime Factorization of 501 is 3 x 167
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, 724) = 475668
GCD(657, 724) = ( 657 x 724 ) / 475668
GCD(657, 724) = 475668 / 475668
GCD(657, 724) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 657, 724, 149, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 657, 724, 149, 501?
GCD of 657, 724, 149, 501 is 1
2. Where do I get the detailed procedure to find GCD of 657, 724, 149, 501?
You can find a detailed procedure to find GCD of 657, 724, 149, 501 on our page.
3. How to find GCD of 657, 724, 149, 501 on a calculator?
You can find the GCD of 657, 724, 149, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.