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 286, 126, 737, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 286, 126, 737, 301 is 1
GCD(286, 126, 737, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 286, 126, 737, 301 is 1
GCD(286, 126, 737, 301) = 1
Given Input numbers are 286, 126, 737, 301
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 286, 126, 737, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 126, 737, 301 is 1.
Therefore, GCD of numbers 286, 126, 737, 301 is 1
Given Input Data is 286, 126, 737, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 737 is 11 x 67
Prime Factorization of 301 is 7 x 43
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(286, 126) = 18018
GCD(286, 126) = ( 286 x 126 ) / 18018
GCD(286, 126) = 36036 / 18018
GCD(286, 126) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 737) = 1474
GCD(2, 737) = ( 2 x 737 ) / 1474
GCD(2, 737) = 1474 / 1474
GCD(2, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 286, 126, 737, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 286, 126, 737, 301?
GCD of 286, 126, 737, 301 is 1
2. Where do I get the detailed procedure to find GCD of 286, 126, 737, 301?
You can find a detailed procedure to find GCD of 286, 126, 737, 301 on our page.
3. How to find GCD of 286, 126, 737, 301 on a calculator?
You can find the GCD of 286, 126, 737, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.