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 202, 749, 15, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 749, 15, 401 is 1
GCD(202, 749, 15, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 749, 15, 401 is 1
GCD(202, 749, 15, 401) = 1
Given Input numbers are 202, 749, 15, 401
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
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 202, 749, 15, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 749, 15, 401 is 1.
Therefore, GCD of numbers 202, 749, 15, 401 is 1
Given Input Data is 202, 749, 15, 401
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 749 is 7 x 107
Prime Factorization of 15 is 3 x 5
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(202, 749) = 151298
GCD(202, 749) = ( 202 x 749 ) / 151298
GCD(202, 749) = 151298 / 151298
GCD(202, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 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 202, 749, 15, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 749, 15, 401?
GCD of 202, 749, 15, 401 is 1
2. Where do I get the detailed procedure to find GCD of 202, 749, 15, 401?
You can find a detailed procedure to find GCD of 202, 749, 15, 401 on our page.
3. How to find GCD of 202, 749, 15, 401 on a calculator?
You can find the GCD of 202, 749, 15, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.