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 143, 245, 14, 841 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 245, 14, 841 is 1
GCD(143, 245, 14, 841) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 245, 14, 841 is 1
GCD(143, 245, 14, 841) = 1
Given Input numbers are 143, 245, 14, 841
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Greatest Common Divisior
We found the divisors of 143, 245, 14, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 245, 14, 841 is 1.
Therefore, GCD of numbers 143, 245, 14, 841 is 1
Given Input Data is 143, 245, 14, 841
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 14 is 2 x 7
Prime Factorization of 841 is 29 x 29
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(143, 245) = 35035
GCD(143, 245) = ( 143 x 245 ) / 35035
GCD(143, 245) = 35035 / 35035
GCD(143, 245) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 841) = 841
GCD(1, 841) = ( 1 x 841 ) / 841
GCD(1, 841) = 841 / 841
GCD(1, 841) = 1
GCD of 143, 245, 14, 841 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 245, 14, 841?
GCD of 143, 245, 14, 841 is 1
2. Where do I get the detailed procedure to find GCD of 143, 245, 14, 841?
You can find a detailed procedure to find GCD of 143, 245, 14, 841 on our page.
3. How to find GCD of 143, 245, 14, 841 on a calculator?
You can find the GCD of 143, 245, 14, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.