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 926, 909, 49, 253 i.e. 1 largest integer that divides all the numbers equally.
GCD of 926, 909, 49, 253 is 1
GCD(926, 909, 49, 253) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 926, 909, 49, 253 is 1
GCD(926, 909, 49, 253) = 1
Given Input numbers are 926, 909, 49, 253
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Greatest Common Divisior
We found the divisors of 926, 909, 49, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 909, 49, 253 is 1.
Therefore, GCD of numbers 926, 909, 49, 253 is 1
Given Input Data is 926, 909, 49, 253
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 926 is 2 x 463
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 49 is 7 x 7
Prime Factorization of 253 is 11 x 23
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(926, 909) = 841734
GCD(926, 909) = ( 926 x 909 ) / 841734
GCD(926, 909) = 841734 / 841734
GCD(926, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
GCD(1, 253) = 253 / 253
GCD(1, 253) = 1
GCD of 926, 909, 49, 253 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 926, 909, 49, 253?
GCD of 926, 909, 49, 253 is 1
2. Where do I get the detailed procedure to find GCD of 926, 909, 49, 253?
You can find a detailed procedure to find GCD of 926, 909, 49, 253 on our page.
3. How to find GCD of 926, 909, 49, 253 on a calculator?
You can find the GCD of 926, 909, 49, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.