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 107, 266, 420, 313 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 266, 420, 313 is 1
GCD(107, 266, 420, 313) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 266, 420, 313 is 1
GCD(107, 266, 420, 313) = 1
Given Input numbers are 107, 266, 420, 313
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Greatest Common Divisior
We found the divisors of 107, 266, 420, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 266, 420, 313 is 1.
Therefore, GCD of numbers 107, 266, 420, 313 is 1
Given Input Data is 107, 266, 420, 313
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 313 is 313
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(107, 266) = 28462
GCD(107, 266) = ( 107 x 266 ) / 28462
GCD(107, 266) = 28462 / 28462
GCD(107, 266) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
GCD(1, 313) = 313 / 313
GCD(1, 313) = 1
GCD of 107, 266, 420, 313 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 266, 420, 313?
GCD of 107, 266, 420, 313 is 1
2. Where do I get the detailed procedure to find GCD of 107, 266, 420, 313?
You can find a detailed procedure to find GCD of 107, 266, 420, 313 on our page.
3. How to find GCD of 107, 266, 420, 313 on a calculator?
You can find the GCD of 107, 266, 420, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.