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 449, 124, 20, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 449, 124, 20, 701 is 1
GCD(449, 124, 20, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 449, 124, 20, 701 is 1
GCD(449, 124, 20, 701) = 1
Given Input numbers are 449, 124, 20, 701
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 449, 124, 20, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 124, 20, 701 is 1.
Therefore, GCD of numbers 449, 124, 20, 701 is 1
Given Input Data is 449, 124, 20, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 449 is 449
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 701 is 701
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(449, 124) = 55676
GCD(449, 124) = ( 449 x 124 ) / 55676
GCD(449, 124) = 55676 / 55676
GCD(449, 124) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 449, 124, 20, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 449, 124, 20, 701?
GCD of 449, 124, 20, 701 is 1
2. Where do I get the detailed procedure to find GCD of 449, 124, 20, 701?
You can find a detailed procedure to find GCD of 449, 124, 20, 701 on our page.
3. How to find GCD of 449, 124, 20, 701 on a calculator?
You can find the GCD of 449, 124, 20, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.