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 145, 224, 343, 363 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 224, 343, 363 is 1
GCD(145, 224, 343, 363) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 224, 343, 363 is 1
GCD(145, 224, 343, 363) = 1
Given Input numbers are 145, 224, 343, 363
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Greatest Common Divisior
We found the divisors of 145, 224, 343, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 224, 343, 363 is 1.
Therefore, GCD of numbers 145, 224, 343, 363 is 1
Given Input Data is 145, 224, 343, 363
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 363 is 3 x 11 x 11
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(145, 224) = 32480
GCD(145, 224) = ( 145 x 224 ) / 32480
GCD(145, 224) = 32480 / 32480
GCD(145, 224) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
GCD(1, 363) = 363 / 363
GCD(1, 363) = 1
GCD of 145, 224, 343, 363 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 224, 343, 363?
GCD of 145, 224, 343, 363 is 1
2. Where do I get the detailed procedure to find GCD of 145, 224, 343, 363?
You can find a detailed procedure to find GCD of 145, 224, 343, 363 on our page.
3. How to find GCD of 145, 224, 343, 363 on a calculator?
You can find the GCD of 145, 224, 343, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.