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 267, 636, 21, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 267, 636, 21, 245 is 1
GCD(267, 636, 21, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 267, 636, 21, 245 is 1
GCD(267, 636, 21, 245) = 1
Given Input numbers are 267, 636, 21, 245
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 267, 636, 21, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 636, 21, 245 is 1.
Therefore, GCD of numbers 267, 636, 21, 245 is 1
Given Input Data is 267, 636, 21, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 267 is 3 x 89
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 21 is 3 x 7
Prime Factorization of 245 is 5 x 7 x 7
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(267, 636) = 56604
GCD(267, 636) = ( 267 x 636 ) / 56604
GCD(267, 636) = 169812 / 56604
GCD(267, 636) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
GCD(3, 21) = 63 / 21
GCD(3, 21) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 245) = 735
GCD(3, 245) = ( 3 x 245 ) / 735
GCD(3, 245) = 735 / 735
GCD(3, 245) = 1
GCD of 267, 636, 21, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 267, 636, 21, 245?
GCD of 267, 636, 21, 245 is 1
2. Where do I get the detailed procedure to find GCD of 267, 636, 21, 245?
You can find a detailed procedure to find GCD of 267, 636, 21, 245 on our page.
3. How to find GCD of 267, 636, 21, 245 on a calculator?
You can find the GCD of 267, 636, 21, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.