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 336, 203, 249, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 203, 249, 742 is 1
GCD(336, 203, 249, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 203, 249, 742 is 1
GCD(336, 203, 249, 742) = 1
Given Input numbers are 336, 203, 249, 742
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 336, 203, 249, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 203, 249, 742 is 1.
Therefore, GCD of numbers 336, 203, 249, 742 is 1
Given Input Data is 336, 203, 249, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 203 is 7 x 29
Prime Factorization of 249 is 3 x 83
Prime Factorization of 742 is 2 x 7 x 53
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(336, 203) = 9744
GCD(336, 203) = ( 336 x 203 ) / 9744
GCD(336, 203) = 68208 / 9744
GCD(336, 203) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 249
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 249) = 1743
GCD(7, 249) = ( 7 x 249 ) / 1743
GCD(7, 249) = 1743 / 1743
GCD(7, 249) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
GCD of 336, 203, 249, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 203, 249, 742?
GCD of 336, 203, 249, 742 is 1
2. Where do I get the detailed procedure to find GCD of 336, 203, 249, 742?
You can find a detailed procedure to find GCD of 336, 203, 249, 742 on our page.
3. How to find GCD of 336, 203, 249, 742 on a calculator?
You can find the GCD of 336, 203, 249, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.