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 122, 548, 749, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 122, 548, 749, 401 is 1
GCD(122, 548, 749, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 122, 548, 749, 401 is 1
GCD(122, 548, 749, 401) = 1
Given Input numbers are 122, 548, 749, 401
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Greatest Common Divisior
We found the divisors of 122, 548, 749, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 548, 749, 401 is 1.
Therefore, GCD of numbers 122, 548, 749, 401 is 1
Given Input Data is 122, 548, 749, 401
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 122 is 2 x 61
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 749 is 7 x 107
Prime Factorization of 401 is 401
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(122, 548) = 33428
GCD(122, 548) = ( 122 x 548 ) / 33428
GCD(122, 548) = 66856 / 33428
GCD(122, 548) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 749) = 1498
GCD(2, 749) = ( 2 x 749 ) / 1498
GCD(2, 749) = 1498 / 1498
GCD(2, 749) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 401) = 401
GCD(1, 401) = ( 1 x 401 ) / 401
GCD(1, 401) = 401 / 401
GCD(1, 401) = 1
GCD of 122, 548, 749, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 122, 548, 749, 401?
GCD of 122, 548, 749, 401 is 1
2. Where do I get the detailed procedure to find GCD of 122, 548, 749, 401?
You can find a detailed procedure to find GCD of 122, 548, 749, 401 on our page.
3. How to find GCD of 122, 548, 749, 401 on a calculator?
You can find the GCD of 122, 548, 749, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.