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 243, 674, 362, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 674, 362, 101 is 1
GCD(243, 674, 362, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 674, 362, 101 is 1
GCD(243, 674, 362, 101) = 1
Given Input numbers are 243, 674, 362, 101
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 243, 674, 362, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 674, 362, 101 is 1.
Therefore, GCD of numbers 243, 674, 362, 101 is 1
Given Input Data is 243, 674, 362, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 674 is 2 x 337
Prime Factorization of 362 is 2 x 181
Prime Factorization of 101 is 101
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(243, 674) = 163782
GCD(243, 674) = ( 243 x 674 ) / 163782
GCD(243, 674) = 163782 / 163782
GCD(243, 674) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
GCD(1, 362) = 362 / 362
GCD(1, 362) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
GCD of 243, 674, 362, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 674, 362, 101?
GCD of 243, 674, 362, 101 is 1
2. Where do I get the detailed procedure to find GCD of 243, 674, 362, 101?
You can find a detailed procedure to find GCD of 243, 674, 362, 101 on our page.
3. How to find GCD of 243, 674, 362, 101 on a calculator?
You can find the GCD of 243, 674, 362, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.