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 368, 340, 24, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 340, 24, 545 is 1
GCD(368, 340, 24, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 340, 24, 545 is 1
GCD(368, 340, 24, 545) = 1
Given Input numbers are 368, 340, 24, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 368, 340, 24, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 340, 24, 545 is 1.
Therefore, GCD of numbers 368, 340, 24, 545 is 1
Given Input Data is 368, 340, 24, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 545 is 5 x 109
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(368, 340) = 31280
GCD(368, 340) = ( 368 x 340 ) / 31280
GCD(368, 340) = 125120 / 31280
GCD(368, 340) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 24) = 24
GCD(4, 24) = ( 4 x 24 ) / 24
GCD(4, 24) = 96 / 24
GCD(4, 24) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 545) = 2180
GCD(4, 545) = ( 4 x 545 ) / 2180
GCD(4, 545) = 2180 / 2180
GCD(4, 545) = 1
GCD of 368, 340, 24, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 340, 24, 545?
GCD of 368, 340, 24, 545 is 1
2. Where do I get the detailed procedure to find GCD of 368, 340, 24, 545?
You can find a detailed procedure to find GCD of 368, 340, 24, 545 on our page.
3. How to find GCD of 368, 340, 24, 545 on a calculator?
You can find the GCD of 368, 340, 24, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.